Iterated function systems and permutation representations of the Cuntz algebra
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Bibliographic Information
Iterated function systems and permutation representations of the Cuntz algebra
（Memoirs of the American Mathematical Society, no. 663）
American Mathematical Society, 1999
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Note
"May 1999, volume 139, number 663 (second of 5 numbers)"--T.p.
Includes bibliographical references (p. 86-88)
Description and Table of Contents
Description
This book is intended for graduate students and research mathematicians working in functional analysis.
Table of 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.
by "Nielsen BookData"