Circle correspondence C^*-algebras

2008/08/10 by Yamashita, Shinji
#46L05 (Primary) 46L55 #46L80 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0808.1403

Abstract

We investigate Cuntz-Pimsner C^*-algebras associated with certain correspondences of the unit circle \mathbbT. We analyze these C^*-algebras by analogy with irrational rotation algebras A_θ and Cuntz algebras O_n. We construct a Rieffel type projection, study the fixed point algebras of certain actions of finite groups, and calculate the entropy of a certain endomorphism. We also study the induced map of the dual action of the gauge action on K-groups.

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