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Iterated Function Systems and Permutation Representations of the Cuntz Algebra
| eBook ISBN: | 978-1-4704-0252-5 |
| Product Code: | MEMO/139/663.E |
| List Price: | $49.00 |
| MAA Member Price: | $44.10 |
| AMS Member Price: | $29.40 |
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Iterated Function Systems and Permutation Representations of the Cuntz Algebra
| eBook ISBN: | 978-1-4704-0252-5 |
| Product Code: | MEMO/139/663.E |
| List Price: | $49.00 |
| MAA Member Price: | $44.10 |
| AMS Member Price: | $29.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 139; 1999; 89 ppMSC: Primary 46; 47; Secondary 42; 22; 11Readership
Graduate students and research mathematicians working in functional analysis.
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Table of Contents
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Chapters
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1. Introduction
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2. Permutative representations of $\mathcal {O}_N$
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3. Monomial representations and integers modulo $N$
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4. Cycles of irreducible $\mathcal {O}_N$ representations and their atoms of $\mathrm {UHF}_N$ representations
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5. Relations of finite type and sub-Cuntz states
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6. The shift representation
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7. The universal permutative multiplicity-free representation
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8. Some specific examples of the cycle and atom structure: The mod $N$ case
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9. Some specific examples of the cycle and atom structure: The mod N case
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10. The general mod N situation
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11. Concluding remarks
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
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Volume: 139; 1999; 89 pp
MSC: Primary 46; 47; Secondary 42; 22; 11
Readership
Graduate students and research mathematicians working in functional analysis.
-
Chapters
-
1. Introduction
-
2. Permutative representations of $\mathcal {O}_N$
-
3. Monomial representations and integers modulo $N$
-
4. Cycles of irreducible $\mathcal {O}_N$ representations and their atoms of $\mathrm {UHF}_N$ representations
-
5. Relations of finite type and sub-Cuntz states
-
6. The shift representation
-
7. The universal permutative multiplicity-free representation
-
8. Some specific examples of the cycle and atom structure: The mod $N$ case
-
9. Some specific examples of the cycle and atom structure: The mod N case
-
10. The general mod N situation
-
11. Concluding remarks
Review Copy – for publishers of book reviews
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