C*-algebras by example:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1996]
|
| Schriftenreihe: | Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 309 Seiten |
| ISBN: | 0821805991 9780821805992 |
Internformat
MARC
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| 020 | |a 0821805991 |9 0-8218-0599-1 | ||
| 020 | |a 9780821805992 |9 978-0-8218-0599-2 | ||
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| 100 | 1 | |a Davidson, Kenneth R. |d 1951- |e Verfasser |0 (DE-588)139971599 |4 aut | |
| 245 | 1 | 0 | |a C*-algebras by example |c Kenneth R. Davidson |
| 246 | 1 | 3 | |a C-star-algebras by example |
| 246 | 1 | 3 | |a C algebras by example |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1996] | |
| 264 | 4 | |c © 1996 | |
| 300 | |a xiv, 309 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |v 6 | |
| 650 | 4 | |a C*-algebras | |
| 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 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-3133-4 |w (DE-604)BV049824560 |
| 830 | 0 | |a Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |v 6 |w (DE-604)BV009737926 |9 6 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007628890 | |
Datensatz im Suchindex
| _version_ | 1820768863947587584 |
|---|---|
| adam_text |
Contents
Preface
Xlii
I. The Basics of C*-algebras
1
1.1
Definitions
1
1.2
Banach Algebra Basics
3
1.3
Commutative C*-algebras
7
1.4
Positive Elements
9
1.5
Ideals, Quotients and Homomorphisms
12
1.6
Weak Topologies
15
1.7
The Density Theorems
19
1.8
Some Operator Theory
23
1.9
Representations of C*-algebras
26
1.10
C*-algebras of Compact Operators
36
Exercises
40
II. Normal Operators and Abelian C*-algebras
46
II.1 Spectral Theory
46
П.2
The L°° Functional Calculus
48
11.3 Multiplicity Theory
53
11.4 The Weyl-von Neumann-Berg Theorem
57
П.5
Voiculescu's Theorem
64
Exercises
72
III. AF
C*-algebras
74
Ш.1
Finite Dimensional C*-algebras
74
ΙΠ.2
AF Algebras
75
Ш.З
Perturbations
79
Ш.4
Ideals and Quotients
84
ΠΙ.5
Examples
86
Ш.6
Extensions
91
Exercises
95
Contents
IV.
K-theory
for AF
C*-aIgebras
97
IV.
1 Idempotents
97
IV.2 Ko
100
rv.3 Dimension
Groups
102
IV.4
Elliott's
Theorem
109
rv.5 Applications
112
IV.6 Riesz
groups
118
IV.7 The Effros-Handelman-Shen Theorem
120
IV.8 Blackadar's Simple Unital
Projectionless C*-algebra
124
Exercises
129
V.
C*-Algebras
of
Isometries
132
V.l Toeplitz Operators
132
V.2 Isometries
136
V.3 Bunce-Deddens
Algebras
137
V.4
Cuntz Algebras
144
V.5 Simple Infinite C*-algebras
147
V.6
Classification of
Cuntz
Algebras
150
V.7
Real Rank Zero
156
Exercises
162
VI. Irrational Rotation Algebras
166
VI.
1
The algebras
Л)
166
VI.2 Projections in A#
170
VI.3 An AF algebra
172
VI.4 Berg's technique
174
VI.5 Imbedding A$ into 2ls
177
Exercises
180
VII.
Group C*-Algebras
182
VILI
Group Representations
182
Vn.2 Amenability
185
Vn.3 Primitive Ideals
190
Vn.4 A Crystallographic Group
193
Vn.5 The Discrete
Heisenberg
Group
200
Vn.6 The Free Group
203
Vn.7 The Reduced C*-algebra of the Free Group
206
VH.8 C; (F2
)
is
Projectionless
210
Exercises
214
Contents
VIII.
Discrete Crossed Products
216
Vm.1 Crossed Products
216
УШ.2
Crossed Products by
Z
222
Vin.3 Minimal Dynamical Systems
223
Vm.4 Odometers
230
УШ.5
K-theory of Crossed Products
232
Vm.6 AF Subalgebras of Crossed Products
235
УШ.7
Crossed Product subalgebras of AF Algebras
238
Vm.8 Topological Stable Rank
244
VÏÏI.9
An Order
2
Automorphism
247
Exercises
250
IX. Brown-Douglas-Fillmore Theory
252
IX.
1
Extensions
252
IX.2 An Addition and Zero Element for Ext(X)
254
IX.3 Some Special Cases
258
IX.4 Positive maps
259
K.5 Extpf) is a group
266
IX.6 First Topological Properties
268
IX.7 Ext for planar sets
273
IX.8 Quasidiagonality
281
K.9 Homotopy
Invariance
286
IX.
10
The Mayer-Vietoris Sequence
289
IX.
11
Examples
294
Exercises
299
References
303
Index
307 |
| any_adam_object | 1 |
| author | Davidson, Kenneth R. 1951- |
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| bvnumber | BV011352822 |
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| discipline | Mathematik |
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| id | DE-604.BV011352822 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-09T11:01:41Z |
| institution | BVB |
| isbn | 0821805991 9780821805992 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007628890 |
| oclc_num | 246797210 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-824 DE-29T DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-11 DE-188 DE-20 |
| physical | xiv, 309 Seiten |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |
| series2 | Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs |
| spelling | Davidson, Kenneth R. 1951- Verfasser (DE-588)139971599 aut C*-algebras by example Kenneth R. Davidson C-star-algebras by example C algebras by example Providence, Rhode Island American Mathematical Society [1996] © 1996 xiv, 309 Seiten txt rdacontent n rdamedia nc rdacarrier Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs 6 C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-3133-4 (DE-604)BV049824560 Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs 6 (DE-604)BV009737926 6 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628890&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Davidson, Kenneth R. 1951- C*-algebras by example Fields Institute for Research in Mathematical Sciences <Toronto>: Fields Institute monographs C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4136693-1 |
| title | C*-algebras by example |
| title_alt | C-star-algebras by example C algebras by example |
| title_auth | C*-algebras by example |
| title_exact_search | C*-algebras by example |
| title_full | C*-algebras by example Kenneth R. Davidson |
| title_fullStr | C*-algebras by example Kenneth R. Davidson |
| title_full_unstemmed | C*-algebras by example Kenneth R. Davidson |
| title_short | C*-algebras by example |
| title_sort | c algebras by example |
| topic | C*-algebras C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | C*-algebras C-Stern-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628890&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009737926 |
| work_keys_str_mv | AT davidsonkennethr calgebrasbyexample AT davidsonkennethr cstaralgebrasbyexample |