Hochschild cohomology of VonNeumann algebras:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1995
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
203 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 196 S. |
| ISBN: | 0521478804 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010194078 | ||
| 003 | DE-604 | ||
| 005 | 19950719 | ||
| 007 | t| | ||
| 008 | 950523s1995 xx |||| 00||| eng d | ||
| 020 | |a 0521478804 |9 0-521-47880-4 | ||
| 035 | |a (OCoLC)318407124 | ||
| 035 | |a (DE-599)BVBBV010194078 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-12 |a DE-739 |a DE-355 |a DE-703 |a DE-11 |a DE-19 |a DE-188 | ||
| 082 | 0 | |a 514.23 |b S351 |2 20 | |
| 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 Hochschild cohomology of VonNeumann algebras |c Allan M. Sinclair ; Roger R. Smith |
| 246 | 1 | 3 | |a Hochschild cohomology of von Neumann algebras |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1995 | |
| 300 | |a VII, 196 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 203 | |
| 650 | 4 | |a Algebras de Von Neumann | |
| 650 | 4 | |a Teoría homológica | |
| 650 | 0 | 7 | |a Hochschild-Kohomologie |0 (DE-588)4374357-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hochschild-Kohomologie |0 (DE-588)4374357-2 |D s |
| 689 | 0 | 1 | |a Von-Neumann-Algebra |0 (DE-588)4388395-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Smith, Roger R. |e Verfasser |4 aut | |
| 830 | 0 | |a London Mathematical Society: London Mathematical Society lecture note series |v 203 |w (DE-604)BV000000130 |9 203 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006773904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006773904 | |
Record in the Search Index
| _version_ | 1827654236574318592 |
|---|---|
| adam_text |
V
Contents
Preface vii
0 Introduction 1
0.1 General Introduction 1
0.2 The Hochschild Complex 1
0.3 History 4
0.4 Averaging 5
0.5 Contents 6
0.6 Background 8
1 Completely Bounded Operators 11
1.1 Introduction 11
1.2 Completely Positive Maps 12
1.3 Completely Bounded Maps 27
1.4 Haagerup Tensor Product 29
1.5 Multilinear Maps 39
1.6 Automatic Complete Boundedness 46
1.7 A Projection onto Completely Bounded Module Maps 50
1.8 Notes and Remarks 59
2 Derivations 60
2.1 Introduction 60
2.2 Continuity of Derivations 61
2.3 Extension of Derivations 64
2.4 Hyperfinite von Neumann Algebras 67
2.5 Inner Derivations 70
2.6 Notes and Remarks 76
3 Averaging in Continuous and Normal Cohomology 77
3.1 Introduction 77
3.2 Averaging in Continuous Cohomology 79
3.3 Norm Continuous and Normal Cohomology are Equal:
Extension Techniques 89
3.4 Averaging in Normal Cohomology 99
3.5 Notes and Remarks 101
4 Completely Bounded Cohomology 103
4.1 Introduction 103
4.2 Completely Bounded Cohomology into B(H) 103
4.3 Completely Bounded Cohomology into the Algebra 112
4.4 Notes and Remarks 113
vi Contents
5 Hyperfinite Subalgebras 114
5.1 Introduction 114
5.2 Extension by a Masa 114
5.3 Popa Subfactors and Masas 118
5.4 The Pisier Haagerup Grothendieck Inequality
for Module Maps 133
5.5 Notes and Remarks 145
6 Continuous Cohomology 146
6.1 Introduction 146
6.2 Algebras Stable under Tensor Products 146
6.3 Cohomology with Cartan Subalgebras 150
6.4 Cohomology for Factors with Property F 151
6.5 Separable Preduals 155
6.6 Notes and Remarks 158
7 Stability of Products 160
7.1 Introduction 160
7.2 Principal Component of the Automorphism Group 160
7.3 An Implicit Function Theorem 163
7.4 Stability 165
7.5 Notes and Remarks 170
8 Appendix 171
8.1 Introduction 171
8.2 Bounded Group Cohomology 171
8.3 Bounded Group Cohomology and Hochschild Cohomology 177
8.4 Problem List 179
Bibliography 182
Notation 192
Index 194 |
| any_adam_object | 1 |
| author | Sinclair, Allan M. Smith, Roger R. |
| author_facet | Sinclair, Allan M. Smith, Roger R. |
| author_role | aut aut |
| author_sort | Sinclair, Allan M. |
| author_variant | a m s am ams r r s rr rrs |
| building | Verbundindex |
| bvnumber | BV010194078 |
| classification_rvk | SI 320 SK 600 |
| ctrlnum | (OCoLC)318407124 (DE-599)BVBBV010194078 |
| dewey-full | 514.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.23 |
| dewey-search | 514.23 |
| dewey-sort | 3514.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010194078</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19950719</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">950523s1995 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521478804</subfield><subfield code="9">0-521-47880-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)318407124</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010194078</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.23</subfield><subfield code="b">S351</subfield><subfield code="2">20</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">Hochschild cohomology of VonNeumann algebras</subfield><subfield code="c">Allan M. Sinclair ; Roger R. Smith</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Hochschild cohomology of von Neumann algebras</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge u.a.</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 196 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">203</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebras de Von Neumann</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Teoría homológica</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hochschild-Kohomologie</subfield><subfield code="0">(DE-588)4374357-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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">Hochschild-Kohomologie</subfield><subfield code="0">(DE-588)4374357-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Smith, Roger R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">203</subfield><subfield code="w">(DE-604)BV000000130</subfield><subfield code="9">203</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006773904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006773904</subfield></datafield></record></collection> |
| id | DE-604.BV010194078 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-26T11:01:44Z |
| institution | BVB |
| isbn | 0521478804 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006773904 |
| oclc_num | 318407124 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-739 DE-355 DE-BY-UBR DE-703 DE-11 DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-384 DE-12 DE-739 DE-355 DE-BY-UBR DE-703 DE-11 DE-19 DE-BY-UBM DE-188 |
| physical | VII, 196 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Sinclair, Allan M. Verfasser aut Hochschild cohomology of VonNeumann algebras Allan M. Sinclair ; Roger R. Smith Hochschild cohomology of von Neumann algebras 1. publ. Cambridge u.a. Cambridge Univ. Press 1995 VII, 196 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 203 Algebras de Von Neumann Teoría homológica Hochschild-Kohomologie (DE-588)4374357-2 gnd rswk-swf Von-Neumann-Algebra (DE-588)4388395-3 gnd rswk-swf Hochschild-Kohomologie (DE-588)4374357-2 s Von-Neumann-Algebra (DE-588)4388395-3 s DE-604 Smith, Roger R. Verfasser aut London Mathematical Society: London Mathematical Society lecture note series 203 (DE-604)BV000000130 203 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006773904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sinclair, Allan M. Smith, Roger R. Hochschild cohomology of VonNeumann algebras London Mathematical Society: London Mathematical Society lecture note series Algebras de Von Neumann Teoría homológica Hochschild-Kohomologie (DE-588)4374357-2 gnd Von-Neumann-Algebra (DE-588)4388395-3 gnd |
| subject_GND | (DE-588)4374357-2 (DE-588)4388395-3 |
| title | Hochschild cohomology of VonNeumann algebras |
| title_alt | Hochschild cohomology of von Neumann algebras |
| title_auth | Hochschild cohomology of VonNeumann algebras |
| title_exact_search | Hochschild cohomology of VonNeumann algebras |
| title_full | Hochschild cohomology of VonNeumann algebras Allan M. Sinclair ; Roger R. Smith |
| title_fullStr | Hochschild cohomology of VonNeumann algebras Allan M. Sinclair ; Roger R. Smith |
| title_full_unstemmed | Hochschild cohomology of VonNeumann algebras Allan M. Sinclair ; Roger R. Smith |
| title_short | Hochschild cohomology of VonNeumann algebras |
| title_sort | hochschild cohomology of vonneumann algebras |
| topic | Algebras de Von Neumann Teoría homológica Hochschild-Kohomologie (DE-588)4374357-2 gnd Von-Neumann-Algebra (DE-588)4388395-3 gnd |
| topic_facet | Algebras de Von Neumann Teoría homológica Hochschild-Kohomologie Von-Neumann-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006773904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT sinclairallanm hochschildcohomologyofvonneumannalgebras AT smithrogerr hochschildcohomologyofvonneumannalgebras |