Iterated function systems and permutation representations of the Cuntz algebra
著者
書誌事項
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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注記
"May 1999, volume 139, number 663 (second of 5 numbers)"--T.p.
Includes bibliographical references (p. 86-88)
内容説明・目次
内容説明
This book is intended for graduate students and research mathematicians working in functional analysis.
目次
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.
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