C*-algebras and elliptic operators in differential topology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2001
|
| Schriftenreihe: | Translations of mathematical monographs
192 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | X, 213 S. |
| ISBN: | 0821813994 |
Internformat
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| 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. | ||
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| 700 | 1 | |a Troickij, Evgenij V. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _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
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| 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 |
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| physical | X, 213 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | American Math. Soc. |
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| 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 |
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