Unique ergodicity of free shifts and some other automorphisms of C*-algebras

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dc.creatorAbadie, Beatriz
dc.creatorDykema, Ken
dc.date2006-08-09
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:21:35Z
dc.date.available2026-07-07T07:21:35Z
dc.descriptionA notion of unique ergodicity relative to the fixed-point subalgebra is defined for automorphisms of unital C*-algebras. It is proved that the free shift on any reduced amalgamated free product C*-algebra is uniquely ergodic relative to its fixed-point subalgebra, as are autormorphisms of reduced group C*-algebras arising from certain automorphisms of groups. A generalization of Haagerup's inequality, yielding bounds on the norms of certain elements in reduced amalgamated free product C*-algebras, is proved.
dc.descriptionThe revision (2006/08/16) includes a comment that our generalization of Haagerup's inequality can, in fact, be obtained from Ricard+Xu's results, and some other minor changes
dc.identifierhttps://arxiv.org/abs/math/0608227
dc.identifierhttp://arxiv.org/abs/math/0608227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115350
dc.subjectOperator Algebras
dc.subject46L54, 46L55
dc.titleUnique ergodicity of free shifts and some other automorphisms of C*-algebras
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