Topology, C*-algebras, and string duality: [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2009
|
| Schriftenreihe: | Regional conference series in mathematics
111 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | VIII, 110 S. graph. Darst. |
| ISBN: | 9780821849224 |
Internformat
MARC
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| 245 | 1 | 0 | |a Topology, C*-algebras, and string duality |b [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] |c Jonathan Rosenberg |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2009 | |
| 300 | |a VIII, 110 S. |b graph. Darst. | ||
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| 490 | 1 | |a Regional conference series in mathematics |v 111 | |
| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a C*-algebras | |
| 650 | 4 | |a Duality theory (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804140822539534336 |
|---|---|
| adam_text | Contents
The symbol
ik
denotes either a more advanced section, or else a bit of a digression,
which can be skipped without interrupting the flow of the rest of the book.
Preface
VII
Chapter
1.
Introduction and Motivation
1
1.1.
Structure of Physical Theories
1
1.2.
Some Basics of String Theory
3
1.3.
Dualities Related to String Theory
7
1.4. ■&
More on S-Duality and AdS/CFT Duality
10
Chapter
2.
K-Theory and its Relevance to Physics
13
2.1.
A Quick Review of Topological A -Theory
13
2.2.
АГ
-Theory
and D-Brane Charges
21
2.3.
A -Homology and D-Brane Charges
22
Chapter
3.
A Few Basics of C*-Algebras and Crossed Products
25
3.1.
Basics of C*-Algebras
25
3.2.
Aľ-Theory
of
C-Algebras 29
3.3.
Crossed Products
33
Chapter
4.
Continuous-Trace Algebras and Twisted
Aľ-Theory
37
4.1.
Continuous-Trace Algebras and the
Brauer
Group
37
4.2.
Twisted A -Theory
40
4.3. ■&
The Theory of
Gerbes
42
Chapter
5.
More on Crossed Products and Their A -Theory
47
5.1.
A Categorical Framework
47
5.2.
Connes Thorn Isomorphism
51
5.3.
The Pimsner-Voiculescu Sequence
52
Chapter
6.
The Topology of
Т
-Duality
and the Bunke-Schick Construction
55
6.1.
Topological T-Duality
55
6.2.
The Bunke-Schick Construction
57
Chapter
7.
Т
-Duality
via Crossed Products
63
7.1.
Group Actions on Continuous Trace-Algebras
63
7.2.
The Raeburn-Rosenberg Theorem
68
Chapter
8.
Higher-Dimensional
Т
-Duality
via Topological Methods
71
8.1.
Higher-Dimensional T-Duality
71
8.2.
A Higher-Dimensional Bunke-Schick Theorem
72
vi
CONTENTS
Chapter
9.
Higher-Dimensional
Т
-Duality
via C**-Algebraic Methods
77
9.1.
Methodology and a Key Example
77
9.2.
Uniqueness of Group Actions
78
9.3.
The General Case
81
Chapter
10.
Advanced Topics and Open Problems
85
10.1.
Mirror Symmetry
85
10.2.
Other Solutions to the Missing
Т
-Dual
Problem
87
10.3.
-à
Fourier-Mukai Duality
88
10.4.
-ft Refinements of ir-Theory
93
10.5.
Open Problems
94
Bibliography
95
Notation and Symbols
103
Index
107
|
| any_adam_object | 1 |
| author | Rosenberg, Jonathan 1951- |
| author_GND | (DE-588)133598047 |
| author_facet | Rosenberg, Jonathan 1951- |
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| author_sort | Rosenberg, Jonathan 1951- |
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| callnumber-first | Q - Science |
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| classification_rvk | SI 195 SK 600 |
| ctrlnum | (OCoLC)430678968 (DE-599)BVBBV035849896 |
| dewey-full | 514/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.2 |
| dewey-search | 514/.2 |
| dewey-sort | 3514 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)1071861417 Konferenzschrift gnd-content |
| genre_facet | Konferenzschrift |
| id | DE-604.BV035849896 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:05Z |
| institution | BVB |
| isbn | 9780821849224 |
| language | English |
| lccn | 2009032465 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018707977 |
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| owner | DE-355 DE-BY-UBR DE-634 DE-384 DE-188 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-634 DE-384 DE-188 DE-11 |
| physical | VIII, 110 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Rosenberg, Jonathan 1951- Verfasser (DE-588)133598047 aut Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] Jonathan Rosenberg Providence, R.I. American Mathematical Society 2009 VIII, 110 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 111 Includes bibliographical references and index Algebraic topology C*-algebras Duality theory (Mathematics) Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Algebraische Topologie (DE-588)4120861-4 s C-Stern-Algebra (DE-588)4136693-1 s Dualitätstheorie (DE-588)4150801-4 s DE-604 Regional conference series in mathematics 111 (DE-604)BV000004346 111 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018707977&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosenberg, Jonathan 1951- Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] Regional conference series in mathematics Algebraic topology C*-algebras Duality theory (Mathematics) Algebraische Topologie (DE-588)4120861-4 gnd Dualitätstheorie (DE-588)4150801-4 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4150801-4 (DE-588)4136693-1 (DE-588)1071861417 |
| title | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] |
| title_auth | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] |
| title_exact_search | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] |
| title_full | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] Jonathan Rosenberg |
| title_fullStr | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] Jonathan Rosenberg |
| title_full_unstemmed | Topology, C*-algebras, and string duality [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] Jonathan Rosenberg |
| title_short | Topology, C*-algebras, and string duality |
| title_sort | topology c algebras and string duality nsf cbms regional conference in the mathematical sciences of topology c algebras and string duality held at texas christian university forth worth texas may 18 22 2009 |
| title_sub | [NSF-CBMS-Regional Conference in the Mathematical Sciences of Topology , C*-algebras, and string duality held at Texas Christian University, Forth Worth, Texas May 18-22, 2009] |
| topic | Algebraic topology C*-algebras Duality theory (Mathematics) Algebraische Topologie (DE-588)4120861-4 gnd Dualitätstheorie (DE-588)4150801-4 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | Algebraic topology C*-algebras Duality theory (Mathematics) Algebraische Topologie Dualitätstheorie C-Stern-Algebra Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018707977&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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