Iterated Function Systems and Permutation Representations of the Cuntz Algebra (Memoirs of the American Mathematical Society)
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This book is intended for graduate students and research mathematicians working in functional analysis.
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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