An infinite family of non-isomorphic C*-algebras with identical K-theory

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dc.creatorToms, Andrew S.
dc.date2006-09-07
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:49Z
dc.date.available2026-07-07T08:24:49Z
dc.descriptionWe exhibit a countably infinite family of simple, separable, nuclear, and mutually non-isomorphic C*-algebras which agree on K-theory and traces. The algebras do not absorb the Jiang-Su algebra Z tensorially, answering a question of N. C. Phillips. They are also pairwise shape and Morita equivalent. The distinguishing invariant is the radius of comparison, a non-stable invariant of the Cuntz semigroup.
dc.description12 pages, to appear in Trans. AMS
dc.identifierhttps://arxiv.org/abs/math/0609214
dc.identifierhttp://arxiv.org/abs/math/0609214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136472
dc.subjectOperator Algebras
dc.subjectK-Theory and Homology
dc.subject46L35; 46L80
dc.titleAn infinite family of non-isomorphic C*-algebras with identical K-theory
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