Local multipliers of C*-algebras:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2003
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 319 S. |
| ISBN: | 1852332379 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804129584325591040 |
|---|---|
| adam_text | Contents
Introduction
....................................................... 1
1.
Prerequisites
................................................... 7
1.1
Algebraic Tools
............................................. 7
1.2
Analytic Tools
.............................................. 15
2.
The Symmetric Algebra of Quotients and
its Bounded Analogue
........................................ 49
2.1
The Symmetric Ring of Quotients
........................... 50
2.2
The Bounded Symmetric Algebra of Quotients
............... 55
2.3
The Local Multiplier Algebra
................................ 65
2.4
Notes and References
........................................ 69
3.
The Centre of the Local Multiplier Algebra
................ 71
3.1
The Local Dauns-Hofmann Theorem
........................ 72
3.2
Boundedly Centrally Closed C*-Algebras
.................... 73
3.3
Examples and Constructions
................................ 76
3.4
The Bounded Part of the Central Closure
.................... 81
3.5 Glimm
Ideals in the Local Multiplier Algebra
................ 86
3.6
Notes and References
........................................ 93
4.
Automorphisms and Derivations
............................. 97
4.1
The Norm of an Inner Derivation
............................ 99
4.2
Derivations Inner in the Local Multiplier Algebra
............ 114
4.3
Automorphisms Inner in the Local Multiplier Algebra
........ 131
4.4
Finite Group Actions on C*-Algebras
........................ 139
4.5
Finite Abelian Groups and the Connes Spectrum
............ 155
4.6
Notes and References
........................................ 162
5.
Elementary Operators and Completely Bounded Mappings
169
5.1
Algebraic Preliminaries
...................................... 171
5.2
Complete
Positivity
of Elementary Operators
................ 178
5.3
Central Bimodule Homomorphisms
.......................... 190
5.4
The cb-Norm of an Elementary Operator
.................... 205
5.5
Notes and References
........................................ 231
xii Contents
β.
Lie Mappings and Related Operators
........................ 237
6.1
C*-Algebras Satisfying Polynomial Identities
................. 238
6.2
Commuting Mappings
....................................... 244
6.3
Jordan Mappings of C^-Algebras
............................ 263
6.4
Lie Derivations
.............................................. 268
6.5
Lie Isomorphisms
........................................... 272
6.6
Notes and References
........................................ 290
References
......................................................... 297
Index
............................................................... 315
|
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| genre | Multiplier gnd |
| genre_facet | Multiplier |
| id | DE-604.BV014811343 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:07:27Z |
| institution | BVB |
| isbn | 1852332379 |
| language | English |
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| physical | XII, 319 S. |
| publishDate | 2003 |
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| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Ara, Pere 1959- Verfasser (DE-588)12401688X aut Local multipliers of C*-algebras Pere Ara ; Martin Mathieu London [u.a.] Springer 2003 XII, 319 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics C*-algèbres Multiplicateurs (Analyse mathématique) C*-algebras Multipliers (Mathematical analysis) Multiplikator (DE-588)4040703-2 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Multiplier gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Multiplier f DE-604 Multiplikator (DE-588)4040703-2 s Mathieu, Martin Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010022034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ara, Pere 1959- Mathieu, Martin Local multipliers of C*-algebras C*-algèbres Multiplicateurs (Analyse mathématique) C*-algebras Multipliers (Mathematical analysis) Multiplikator (DE-588)4040703-2 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4040703-2 (DE-588)4136693-1 |
| title | Local multipliers of C*-algebras |
| title_auth | Local multipliers of C*-algebras |
| title_exact_search | Local multipliers of C*-algebras |
| title_full | Local multipliers of C*-algebras Pere Ara ; Martin Mathieu |
| title_fullStr | Local multipliers of C*-algebras Pere Ara ; Martin Mathieu |
| title_full_unstemmed | Local multipliers of C*-algebras Pere Ara ; Martin Mathieu |
| title_short | Local multipliers of C*-algebras |
| title_sort | local multipliers of c algebras |
| topic | C*-algèbres Multiplicateurs (Analyse mathématique) C*-algebras Multipliers (Mathematical analysis) Multiplikator (DE-588)4040703-2 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | C*-algèbres Multiplicateurs (Analyse mathématique) C*-algebras Multipliers (Mathematical analysis) Multiplikator C-Stern-Algebra Multiplier |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010022034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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