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Iterated function systems and permutation representations of the Cuntz algebra / [electronic resource] Ola Bratteli, Palle E.T. Jorgensen.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 663Publication details: Providence, R.I. : American Mathematical Society, c1999.Description: 1 online resource (ix, 89 p. : ill.)ISBN:
  • 9781470402525 (online)
Subject(s): Additional physical formats: Iterated function systems and permutation representations of the Cuntz algebra /DDC classification:
  • 510 s 512/.55 21
LOC classification:
  • QA3 .A57 no. 663
Online resources:
Contents:
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
Item type: E-BOOKS
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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

Description based on print version record.

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