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Generalized permutative representations of Cuntz algebras

Katsunori Kawamura
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Abstract

We introduce representations of the Cuntz algebra $\con$ which are parameterized by sequences in the set of unit vectors in ${\bf C}^{N}$. These representations are natural generalizations of permutative representations by Bratteli-Jorgensen and Davidson-Pitts. We show their existence, irreducibility, equivalence, uniqueness of irreducible decomposition and decomposition formulae by using parameters of representations.

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Katsunori Kawamura. 2006-03-23. Generalized permutative representations of Cuntz algebras. https://arxiv.org/abs/math/0505101

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