Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch Russisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2001
|
| Schriftenreihe: | Translations of mathematical monographs
192 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | Aus dem Russ. übers. |
| Umfang: | 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 | |
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Datensatz im Suchindex
| DE-BY-UBR_call_number | 80/SK 350 S689 |
|---|---|
| DE-BY-UBR_katkey | 3272880 |
| DE-BY-UBR_location | UB Lesesaal Mathematik |
| DE-BY-UBR_media_number | 069030189975 |
| _version_ | 1835088100890509312 |
| 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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| ctrlnum | (OCoLC)472345222 (DE-599)BVBBV013861725 |
| discipline | Mathematik |
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| id | DE-604.BV013861725 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:54:49Z |
| institution | BVB |
| isbn | 0821813994 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009481015 |
| oclc_num | 472345222 |
| open_access_boolean | |
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| 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 |
| 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 |
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