C*-algebras of homoclinic and heteroclinic structure in expansive dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathe. Soc.
2010
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
970 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 206, Number 970 (end of volume) |
| Beschreibung: | X, 122 S. |
| ISBN: | 9780821846926 |
Internformat
MARC
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| 100 | 1 | |a Thomsen, Klaus |d 1957- |e Verfasser |0 (DE-588)141839449 |4 aut | |
| 245 | 1 | 0 | |a C*-algebras of homoclinic and heteroclinic structure in expansive dynamics |c Klaus Thomsen |
| 264 | 1 | |a Providence, R.I. |b American Mathe. Soc. |c 2010 | |
| 300 | |a X, 122 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 970 | |
| 500 | |a Volume 206, Number 970 (end of volume) | ||
| 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 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 970 |w (DE-604)BV008000141 |9 970 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-020488403 | |
Datensatz im Suchindex
| _version_ | 1818609579615846400 |
|---|---|
| adam_text |
Contents
Preface
vii
Chapter
1.
The
Ruelle
algebra of a relatively expansive system
1
1.1.
Relatively expansive systems
1
1.2.
The
étale
equivalence relation of local conjugacy
2
1.3.
The C*-algebra of a local conjugacy relation
8
1.4.
Products and unions
10
Chapter
2.
On the functoriality of the
Ruelle
algebra
13
2.1.
Contravariant
functoriality
13
2.2.
Covariant functoriality
16
Chapter
3.
The homoclinic algebra of expansive actions
23
3.1.
Shift spaces
23
3.2.
Expansive actions by
affine
maps
28
3.3.
Expansive group automorphisms
34
Chapter
4.
The heteroclinic algebra
41
4.1.
Post-periodic points and the Wagoner topology
41
4.2.
Functoriality of the post-periodic points and the Wagoner topology
46
4.3.
The heteroclinic algebra of a countable state Markov shift
47
4.4.
The heteroclinic algebra of
a Smale
space
50
4.5.
More inductive limit decompositions
53
Chapter
5.
One-dimensional generalized solenoids
57
5.1.
Mixing 1-solenoids
57
5.2.
On the structure of the heteroclinic algebra
61
Chapter
6.
The heteroclinic algebra of a group automorphism
67
6.1.
Automorphisms locally expansive on post-periodic points
67
6.2.
The heteroclinic algebra of an expansive automorphism of a compact
group
70
6.3.
The homoclinic algebra of an expansive group automorphism
81
Chapter
7.
A dimension group for certain countable state Markov shifts
83
7.1.
Markov shifts with finitely many edge-disjoint doublepaths
83
7.2.
The structure of the heteroclinic algebra
99
Appendix
A. Étale
equivalence relations from abelian C*-subalgebras with
the extension property
103
Appendix B. On certain crossed product C*-algebras
109
CONTENTS
Appendix
С.
On an example of
Bratteli,
Jorgensen, Kim and Roush
115
Bibliography
119 |
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| id | DE-604.BV036567217 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-16T15:00:47Z |
| institution | BVB |
| isbn | 9780821846926 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020488403 |
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| physical | X, 122 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Mathe. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Thomsen, Klaus 1957- Verfasser (DE-588)141839449 aut C*-algebras of homoclinic and heteroclinic structure in expansive dynamics Klaus Thomsen Providence, R.I. American Mathe. Soc. 2010 X, 122 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 970 Volume 206, Number 970 (end of volume) C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s DE-604 Memoirs of the American Mathematical Society 970 (DE-604)BV008000141 970 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020488403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thomsen, Klaus 1957- C*-algebras of homoclinic and heteroclinic structure in expansive dynamics Memoirs of the American Mathematical Society C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4136693-1 |
| title | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics |
| title_auth | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics |
| title_exact_search | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics |
| title_full | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics Klaus Thomsen |
| title_fullStr | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics Klaus Thomsen |
| title_full_unstemmed | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics Klaus Thomsen |
| title_short | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics |
| title_sort | c algebras of homoclinic and heteroclinic structure in expansive dynamics |
| topic | C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | C-Stern-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020488403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT thomsenklaus calgebrasofhomoclinicandheteroclinicstructureinexpansivedynamics |