Iterated Function Systems and Permutation Representations of the Cuntz Algebra (Memoirs of the American Mathematical Society)

Iterated Function Systems and Permutation Representations of the Cuntz Algebra (Memoirs of the American Mathematical Society)

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Description

This book is intended for graduate students and research mathematicians working in functional analysis.

Contents

Introduction Permutative representations of $\mathcal O N$ Monomial representations and integers modulo $N$ Cycles of irreducible $\mathcal O N$ representations and their atoms of UHF$ N$ representations Relations of finite type and sub-Cuntz states The shift representation The universal permutative multiplicity-free representation Some specific examples of the cycle and atom structure: The mod $N$ case Some specific examples of the cycle and atom structure: The mod $\mathbf N$ case The general mod $\mathbf N$ situation Concluding remarks Bibliography List of symbols.

Product Details

  • ISBN13: 9780821809624
  • Format: Paperback
  • ID: 9780821809624
  • ISBN10: 0821809628

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