C*-algebras associated to shift spaces

dc.creatorCarlsen, Toke Meier
dc.date2008-08-03
dc.date.accessioned2026-07-07T09:54:28Z
dc.date.available2026-07-07T09:54:28Z
dc.descriptionThese are some notes I wrote for the summer school "Symbolic dynamics and homeomorphisms of the Cantor set" at the University of Copenhagen, 23 - 27 June 2008. The notes contain the definition of the C*-algebra associated to a shift space and some basic facts about these. The notes furthermore contain a proof of the fact that the C*-algebra associated to a shift space is a one-sided conjugacy invariant, and a proof of the fact that the Morita equivalence class of the C*-algebra associated to a shift space is a two-sided conjugacy and a flow invariant. The notes also contain a section (without proofs) about the K-theory of C*-algebras associated to shift spaces. The notes are written for people without a background in operator algebra and contains a short appendix about C*-algebras, Morita equivalence and K-theory of C*-algebras.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0808.0301
dc.identifierhttp://arxiv.org/abs/0808.0301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166326
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.subject37B10; 46L05
dc.titleC*-algebras associated to shift spaces
dc.typetext

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