Operator algebras and geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2008
|
| Schriftenreihe: | Translations of mathematical monographs
237 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Japan. übers. |
| Beschreibung: | VIII, 155 S. |
| ISBN: | 9780821839478 0821839470 |
Internformat
MARC
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| 001 | BV035370628 | ||
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| 020 | |a 9780821839478 |c alk. paper |9 978-0-8218-3947-8 | ||
| 020 | |a 0821839470 |c alk. paper |9 0-8218-3947-0 | ||
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| 100 | 1 | |a Moriyoshi, Hitoshi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Operator algebras and geometry |c Hitoshi Moriyoshi ; Toshikazu Natsume |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2008 | |
| 300 | |a VIII, 155 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 237 | |
| 500 | |a Aus dem Japan. übers. | ||
| 650 | 0 | |a Operator algebras | |
| 650 | 0 | |a Geometry | |
| 650 | 4 | |a Geometry | |
| 650 | 4 | |a Operator algebras | |
| 650 | 0 | 7 | |a Indextheorem |0 (DE-588)4140055-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operatoralgebra |0 (DE-588)4129366-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtkommutative Geometrie |0 (DE-588)4171742-9 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Operatoralgebra |0 (DE-588)4129366-6 |D s |
| 689 | 0 | 2 | |a Nichtkommutative Geometrie |0 (DE-588)4171742-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Natsume, Toshikazu |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017174524 | ||
Datensatz im Suchindex
| _version_ | 1804138699130142720 |
|---|---|
| adam_text | Contents
Preface
Vil
Chapter
1.
С*-
Algebras
1
1.1.
C-algebras
1
1.2.
C-algebras
on Hilbert spaces
3
1.3.
Spectral theory
4
1.4.
Gel fand s theorem
8
1.5.
Compact operators
13
1.6. Fredhohn
operators and index
18
1.7.
Multiplier algebras
21
1.8.
Nuclearity
23
1.9.
Representations of C*-algebras
27
1.10.
C-dynamical systems and crossed products
32
1.11.
Fields of Hubert spaces and C-algebras
35
1.12.
Appendix: Bounded linear operators on Hilbert spaces
37
Chapter
2.
if-Theory
41
2.1.
iť-groups
41
2.2.
Xi-group
45
2.3.
Basic properties of
-řf-groups
51
2.4.
Applications of K-theory
54
2.5.
Twisted /f-theory
56
Chapter
3.
КК-ТЪеоту
59
3.1.
KK-group
59
3.2.
Construction of the Kasparov product
66
3.3.
Extensions
80
Chapter
4. Von
Neumann Algebras
87
4.1.
Définitions
and examples
87
4.2.
Factors
89
4.3.
Classification
91
4.4.
Modular theory (Tomita-Takesaki theory)
97
4.5.
Dixmier traces
99
vi
CONTENTS
4.6.
Further reading
102
Chapter
5.
Cyclic Cohomology
105
5.1.
Definitions and examples
105
5.2.
Relationship with ^-theory
109
Chapter
6.
Quantizations and Index Theory
115
6.1.
Quantizations
115
6.2.
Proof of an index theorem
117
Chapter
7.
Foliation Index Theorems
121
7.1.
The Atiyah-Singer index theorem
121
7.2.
Topology of the leaf space M/T
125
7.3.
Geometric aspects of the leaf space
133
7.4.
Toward noncommutative geometry
142
References
147
Index
153
|
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| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)233485416 (DE-599)GBV571490573 |
| 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 |
| format | Book |
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| id | DE-604.BV035370628 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:32:20Z |
| institution | BVB |
| isbn | 9780821839478 0821839470 |
| language | English Japanese |
| lccn | 2008029381 |
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| owner_facet | DE-824 DE-703 |
| physical | VIII, 155 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Moriyoshi, Hitoshi Verfasser aut Operator algebras and geometry Hitoshi Moriyoshi ; Toshikazu Natsume Providence, RI American Math. Soc. 2008 VIII, 155 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 237 Aus dem Japan. übers. Operator algebras Geometry Indextheorem (DE-588)4140055-0 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Indextheorem (DE-588)4140055-0 s Operatoralgebra (DE-588)4129366-6 s Nichtkommutative Geometrie (DE-588)4171742-9 s DE-604 Natsume, Toshikazu Verfasser aut Translations of mathematical monographs 237 (DE-604)BV000002394 237 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017174524&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moriyoshi, Hitoshi Natsume, Toshikazu Operator algebras and geometry Translations of mathematical monographs Operator algebras Geometry Indextheorem (DE-588)4140055-0 gnd Operatoralgebra (DE-588)4129366-6 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| subject_GND | (DE-588)4140055-0 (DE-588)4129366-6 (DE-588)4171742-9 |
| title | Operator algebras and geometry |
| title_auth | Operator algebras and geometry |
| title_exact_search | Operator algebras and geometry |
| title_full | Operator algebras and geometry Hitoshi Moriyoshi ; Toshikazu Natsume |
| title_fullStr | Operator algebras and geometry Hitoshi Moriyoshi ; Toshikazu Natsume |
| title_full_unstemmed | Operator algebras and geometry Hitoshi Moriyoshi ; Toshikazu Natsume |
| title_short | Operator algebras and geometry |
| title_sort | operator algebras and geometry |
| topic | Operator algebras Geometry Indextheorem (DE-588)4140055-0 gnd Operatoralgebra (DE-588)4129366-6 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| topic_facet | Operator algebras Geometry Indextheorem Operatoralgebra Nichtkommutative Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017174524&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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