Iterated function systems and permutation representations of the Cuntz algebra / [electronic resource] Ola Bratteli, Palle E.T. Jorgensen.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v. 663Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (ix, 89 p. : ill.)ISBN: 9781470402525 (online)Subject(s): C*-algebras | Fourier analysis | Representations of groups | Hilbert spaceAdditional physical formats: Iterated function systems and permutation representations of the Cuntz algebra /DDC classification: 510 s | 512/.55 LOC classification: QA3 | .A57 no. 663Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK13116 |
"May 1999, volume 139, number 663 (second of 5 numbers)."
Includes bibliographical references (p. 86-88).
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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