Generalized permutative representations of Cuntz algebras

Abstract

We introduce representations of the Cuntz algebra $\con$ which are parameterized by sequences in the set of unit vectors in ${\mathbf{C}}^N$. 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.

19 pages

Cited by in corpus (4)

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• Classification of sub-Cuntz states