Finite von Neumann algebras and masas:
A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Series: | London Mathematical Society lecture note series
351 |
| Subjects: | |
| Online Access: | DE-12 DE-92 Volltext |
| Summary: | A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 400 pages) |
| ISBN: | 9780511666230 |
| DOI: | 10.1017/CBO9780511666230 |
Staff View
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941918 | ||
| 003 | DE-604 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2008 xx o|||| 00||| eng d | ||
| 020 | |a 9780511666230 |c Online |9 978-0-511-66623-0 | ||
| 024 | 7 | |a 10.1017/CBO9780511666230 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511666230 | ||
| 035 | |a (OCoLC)851004123 | ||
| 035 | |a (DE-599)BVBBV043941918 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 512/.556 |2 22 | |
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 100 | 1 | |a Sinclair, Allan M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite von Neumann algebras and masas |c Allan M. Sinclair, Roger R. Smith |
| 246 | 1 | 3 | |a Finite von Neumann Algebras & Masas |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2008 | |
| 300 | |a 1 online resource (ix, 400 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 351 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index | |
| 520 | |a A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory | ||
| 650 | 4 | |a Von Neumann algebras | |
| 650 | 0 | 7 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Smith, Roger R. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-71919-3 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511666230 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-029350888 | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511666230 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511666230 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1827654239477825536 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Sinclair, Allan M. |
| author_facet | Sinclair, Allan M. |
| author_role | aut |
| author_sort | Sinclair, Allan M. |
| author_variant | a m s am ams |
| building | Verbundindex |
| bvnumber | BV043941918 |
| classification_rvk | SI 320 SK 600 |
| collection | ZDB-20-CBO |
| contents | General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index |
| ctrlnum | (ZDB-20-CBO)CR9780511666230 (OCoLC)851004123 (DE-599)BVBBV043941918 |
| dewey-full | 512/.556 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.556 |
| dewey-search | 512/.556 |
| dewey-sort | 3512 3556 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511666230 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zcb4500</leader><controlfield tag="001">BV043941918</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2008 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511666230</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-66623-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511666230</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511666230</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)851004123</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941918</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.556</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sinclair, Allan M.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite von Neumann algebras and masas</subfield><subfield code="c">Allan M. Sinclair, Roger R. Smith</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Finite von Neumann Algebras & Masas</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 400 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">351</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Von Neumann algebras</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Von-Neumann-Algebra</subfield><subfield code="0">(DE-588)4388395-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Von-Neumann-Algebra</subfield><subfield code="0">(DE-588)4388395-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Smith, Roger R.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-71919-3</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511666230</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350888</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511666230</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511666230</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043941918 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-26T11:01:47Z |
| institution | BVB |
| isbn | 9780511666230 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350888 |
| oclc_num | 851004123 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (ix, 400 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Sinclair, Allan M. Verfasser aut Finite von Neumann algebras and masas Allan M. Sinclair, Roger R. Smith Finite von Neumann Algebras & Masas Cambridge Cambridge University Press 2008 1 online resource (ix, 400 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 351 Title from publisher's bibliographic system (viewed on 05 Oct 2015) General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory Von Neumann algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd rswk-swf Von-Neumann-Algebra (DE-588)4388395-3 s 1\p DE-604 Smith, Roger R. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-71919-3 https://doi.org/10.1017/CBO9780511666230 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sinclair, Allan M. Finite von Neumann algebras and masas General introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index Von Neumann algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd |
| subject_GND | (DE-588)4388395-3 |
| title | Finite von Neumann algebras and masas |
| title_alt | Finite von Neumann Algebras & Masas |
| title_auth | Finite von Neumann algebras and masas |
| title_exact_search | Finite von Neumann algebras and masas |
| title_full | Finite von Neumann algebras and masas Allan M. Sinclair, Roger R. Smith |
| title_fullStr | Finite von Neumann algebras and masas Allan M. Sinclair, Roger R. Smith |
| title_full_unstemmed | Finite von Neumann algebras and masas Allan M. Sinclair, Roger R. Smith |
| title_short | Finite von Neumann algebras and masas |
| title_sort | finite von neumann algebras and masas |
| topic | Von Neumann algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd |
| topic_facet | Von Neumann algebras Von-Neumann-Algebra |
| url | https://doi.org/10.1017/CBO9780511666230 |
| work_keys_str_mv | AT sinclairallanm finitevonneumannalgebrasandmasas AT smithrogerr finitevonneumannalgebrasandmasas AT sinclairallanm finitevonneumannalgebrasmasas AT smithrogerr finitevonneumannalgebrasmasas |