C*-algebras and elliptic operators in differential topology:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Math. Soc.
2001
|
| Series: | Translations of mathematical monographs
192 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | X, 213 S. |
| ISBN: | 0821813994 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013861725 | ||
| 003 | DE-604 | ||
| 005 | 20230104 | ||
| 007 | t | ||
| 008 | 010809s2001 |||| 00||| eng d | ||
| 020 | |a 0821813994 |9 0-8218-1399-4 | ||
| 035 | |a (OCoLC)472345222 | ||
| 035 | |a (DE-599)BVBBV013861725 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 1 | |a eng |h rus | |
| 049 | |a DE-703 |a DE-355 |a DE-19 |a DE-188 | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 100 | 1 | |a Solov'ev, Jurij P. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a C*-algebry i ėlliptičeskie operatory v differencial'noj topologii |
| 245 | 1 | 0 | |a C*-algebras and elliptic operators in differential topology |c Yu. P. Solovyov ; E. V. Troitsky |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2001 | |
| 300 | |a X, 213 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 192 | |
| 500 | |a Aus dem Russ. übers. | ||
| 650 | 0 | 7 | |a Differentialtopologie |0 (DE-588)4012255-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a C-Stern-Algebra |0 (DE-588)4136693-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a C-Stern-Algebra |0 (DE-588)4136693-1 |D s |
| 689 | 0 | 1 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |D s |
| 689 | 0 | 2 | |a Differentialtopologie |0 (DE-588)4012255-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Troickij, Evgenij V. |e Verfasser |4 aut | |
| 830 | 0 | |a Translations of mathematical monographs |v 192 |w (DE-604)BV000002394 |9 192 | |
| 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=009481015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009481015 | ||
Record in the Search Index
| _version_ | 1804128695704616960 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1. C* Algebras and /^ Theory 1
1.1. Some facts from homological algebra 1
1.2. C* Hilbert modules 5
1.3. ^ Theory of C* bundles 16
1.4. Foundations of KK theory 68
Chapter 2. Index Theorems 73
2.1. Pseudodifferential operators 73
2.2. The C* index theorem 106
2.3. The Atiyah Singer theorem 118
Chapter 3. The Higher Signatures 121
3.1. Characteristic classes 121
3.2. Higher signatures of manifolds 126
3.3. Hermitian K theory and Fredholm representations 128
3.4. Generalized Hirzebruch formulas 133
3.5. Mishchenko s theorem 140
3.6. Bruhat Tits buildings and higher signatures 143
3.7. Higher signatures and KK theory 152
3.8. Spinor manifolds, curvature and ^4 bundles 157
Chapter 4. Noncommutative Differential Geometry 161
4.1. Cyclic and dihedral homology 161
4.2. Chern character, index, and Lefschetz numbers 188
4.3. The Connes Moscovici theorem 199
Bibliography 205
Index 211
V
|
| any_adam_object | 1 |
| author | Solov'ev, Jurij P. Troickij, Evgenij V. |
| author_facet | Solov'ev, Jurij P. Troickij, Evgenij V. |
| author_role | aut aut |
| author_sort | Solov'ev, Jurij P. |
| author_variant | j p s jp jps e v t ev evt |
| building | Verbundindex |
| bvnumber | BV013861725 |
| classification_rvk | SK 600 SK 350 |
| ctrlnum | (OCoLC)472345222 (DE-599)BVBBV013861725 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01863nam a2200433 cb4500</leader><controlfield tag="001">BV013861725</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230104 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010809s2001 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821813994</subfield><subfield code="9">0-8218-1399-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)472345222</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013861725</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">rus</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</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="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Solov'ev, Jurij P.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">C*-algebry i ėlliptičeskie operatory v differencial'noj topologii</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">C*-algebras and elliptic operators in differential topology</subfield><subfield code="c">Yu. P. Solovyov ; E. V. Troitsky</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 213 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">Translations of mathematical monographs</subfield><subfield code="v">192</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Russ. übers.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialtopologie</subfield><subfield code="0">(DE-588)4012255-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elliptischer Differentialoperator</subfield><subfield code="0">(DE-588)4140057-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">C-Stern-Algebra</subfield><subfield code="0">(DE-588)4136693-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">C-Stern-Algebra</subfield><subfield code="0">(DE-588)4136693-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Elliptischer Differentialoperator</subfield><subfield code="0">(DE-588)4140057-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differentialtopologie</subfield><subfield code="0">(DE-588)4012255-4</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">Troickij, Evgenij V.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of mathematical monographs</subfield><subfield code="v">192</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">192</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=009481015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009481015</subfield></datafield></record></collection> |
| id | DE-604.BV013861725 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:53:20Z |
| institution | BVB |
| isbn | 0821813994 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009481015 |
| oclc_num | 472345222 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 |
| physical | X, 213 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Solov'ev, Jurij P. Verfasser aut C*-algebry i ėlliptičeskie operatory v differencial'noj topologii C*-algebras and elliptic operators in differential topology Yu. P. Solovyov ; E. V. Troitsky Providence, RI American Math. Soc. 2001 X, 213 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 192 Aus dem Russ. übers. Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Elliptischer Differentialoperator (DE-588)4140057-4 s Differentialtopologie (DE-588)4012255-4 s DE-604 Troickij, Evgenij V. Verfasser aut Translations of mathematical monographs 192 (DE-604)BV000002394 192 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009481015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Solov'ev, Jurij P. Troickij, Evgenij V. C*-algebras and elliptic operators in differential topology Translations of mathematical monographs Differentialtopologie (DE-588)4012255-4 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4012255-4 (DE-588)4140057-4 (DE-588)4136693-1 |
| title | C*-algebras and elliptic operators in differential topology |
| title_alt | C*-algebry i ėlliptičeskie operatory v differencial'noj topologii |
| title_auth | C*-algebras and elliptic operators in differential topology |
| title_exact_search | C*-algebras and elliptic operators in differential topology |
| title_full | C*-algebras and elliptic operators in differential topology Yu. P. Solovyov ; E. V. Troitsky |
| title_fullStr | C*-algebras and elliptic operators in differential topology Yu. P. Solovyov ; E. V. Troitsky |
| title_full_unstemmed | C*-algebras and elliptic operators in differential topology Yu. P. Solovyov ; E. V. Troitsky |
| title_short | C*-algebras and elliptic operators in differential topology |
| title_sort | c algebras and elliptic operators in differential topology |
| topic | Differentialtopologie (DE-588)4012255-4 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | Differentialtopologie Elliptischer Differentialoperator C-Stern-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009481015&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT solovevjurijp calgebryiellipticeskieoperatoryvdifferencialnojtopologii AT troickijevgenijv calgebryiellipticeskieoperatoryvdifferencialnojtopologii AT solovevjurijp calgebrasandellipticoperatorsindifferentialtopology AT troickijevgenijv calgebrasandellipticoperatorsindifferentialtopology |