Circle correspondence $C^*$-algebras

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dc.creatorYamashita, Shinji
dc.date2008-08-10
dc.date.accessioned2026-07-07T09:55:55Z
dc.date.available2026-07-07T09:55:55Z
dc.descriptionWe investigate Cuntz-Pimsner $C^*$-algebras associated with certain correspondences of the unit circle $\mathbb{T}$. We analyze these $C^*$-algebras by analogy with irrational rotation algebras $A_θ$ and Cuntz algebras $\mathcal{O}_n$. 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.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0808.1403
dc.identifierhttp://arxiv.org/abs/0808.1403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166797
dc.subjectOperator Algebras
dc.subject46L05 (Primary) 46L55, 46L80 (Secondary)
dc.titleCircle correspondence $C^*$-algebras
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