Minimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture

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dc.creatorToms, Andrew S.
dc.creatorWinter, Wilhelm
dc.date2009-03-24
dc.date.accessioned2026-07-07T12:56:09Z
dc.date.available2026-07-07T12:56:09Z
dc.descriptionLet X be an infinite, compact, metrizable space of finite covering dimension and h a minimal homeomorphism of X. We prove that the crossed product of C(X) by h absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphism by their graded ordered K-theory under the necessary condition that their projections separate traces. This result applies, in particular, to those crossed products arising from uniquely ergodic homeomorphisms.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0903.4133
dc.identifierhttp://arxiv.org/abs/0903.4133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224486
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L85; 46L35
dc.titleMinimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture
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