Iterated function systems and permutation representations of the Cuntz algebra:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
1999
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
663 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 139, number 663 (second of 5 numbers)." |
| Physical Description: | IX, 89 S. graph. Darst. |
| ISBN: | 0821809628 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804127291372994560 |
|---|---|
| adam_text | Contents
List of Figures ix
Chapter 1. Introduction 1
Chapter 2. Permutative representations of On 7
Chapter 3. Monomial representations and integers modulo TV 14
Chapter 4. Cycles of irreducible On representations and their
atoms of UHFw representations 26
Chapter 5. Relations of finite type and sub Cuntz states 28
Chapter 6. The shift representation 31
Chapter 7. The universal permutative multiplicity free representation 34
Chapter 8. Some specific examples of the cycle and atom structure: The
mod TV case 36
8.1. The case TV = 2 36
8.2. The case TV general, s, = i for i e In = {0,1 TV — 1} 42
8.3. The case TV = 3, {st} = {1,3,5} 42
Chapter 9. Some specific examples of the cycle and atom structure: The
mod N case 43
9.1. A matrix case 43
9.2. Another matrix case: full spectrum 47
9.3. Self similarity and tiles 49
9.4. Tiles in the plane 55
9.5. Single atom cases 57
9.6. Multiple coverings 60
9.7. Box spline matrices 70
Chapter 10. The general mod N situation 76
Chapter 11. Concluding remarks 83
Bibliography 86
List of Symbols 89
vii
|
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| id | DE-604.BV012634484 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:31:01Z |
| institution | BVB |
| isbn | 0821809628 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008583734 |
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| physical | IX, 89 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Bratteli, Ola 1946-2015 Verfasser (DE-588)1292586575 aut Iterated function systems and permutation representations of the Cuntz algebra Ola Bratteli ; Palle E. T. Jorgensen Providence, RI 1999 IX, 89 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 663 "Volume 139, number 663 (second of 5 numbers)." Cuntz-Algebra (DE-588)4282919-7 gnd rswk-swf Cuntz-Algebra (DE-588)4282919-7 s DE-604 Jørgensen, Palle E. T. 1947- Verfasser (DE-588)124805515 aut American Mathematical Society: Memoirs of the American Mathematical Society 663 (DE-604)BV008000141 663 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008583734&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bratteli, Ola 1946-2015 Jørgensen, Palle E. T. 1947- Iterated function systems and permutation representations of the Cuntz algebra American Mathematical Society: Memoirs of the American Mathematical Society Cuntz-Algebra (DE-588)4282919-7 gnd |
| subject_GND | (DE-588)4282919-7 |
| title | Iterated function systems and permutation representations of the Cuntz algebra |
| title_auth | Iterated function systems and permutation representations of the Cuntz algebra |
| title_exact_search | Iterated function systems and permutation representations of the Cuntz algebra |
| title_full | Iterated function systems and permutation representations of the Cuntz algebra Ola Bratteli ; Palle E. T. Jorgensen |
| title_fullStr | Iterated function systems and permutation representations of the Cuntz algebra Ola Bratteli ; Palle E. T. Jorgensen |
| title_full_unstemmed | Iterated function systems and permutation representations of the Cuntz algebra Ola Bratteli ; Palle E. T. Jorgensen |
| title_short | Iterated function systems and permutation representations of the Cuntz algebra |
| title_sort | iterated function systems and permutation representations of the cuntz algebra |
| topic | Cuntz-Algebra (DE-588)4282919-7 gnd |
| topic_facet | Cuntz-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008583734&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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