CIRCLE CORRESPONDENCE C∗-ALGEBRAS

We investigate Cuntz-Pimsner C∗-algebras associated with certain correspondences of the unit circle T. We analyze these C∗-algebras by analogy with irrational rotation algebras Aθ and Cuntz algebras On. We study the fixed point algebras of certain actions of finite groups, and calcu-late the entropy of a certain endomorphism. We also study the induced map of the dual action of the gauge action on K-groups