Cuntz-Pimsner C*-algebras associated with subshifts

dc.creatorCarlsen, Toke Meier
dc.date2005-05-24
dc.date2005-11-16
dc.date.accessioned2026-07-07T12:51:59Z
dc.date.available2026-07-07T12:51:59Z
dc.descriptionBy using C*-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) $X$ a C*-algebra $O_X$, which is a generalization of the Cuntz-Krieger algebras. We show that $O_X$ is the universal C*-algebra generated by partial isometries satisfying relations given by $X$. We also show that $O_X$ is a one-sided conjugacy invariant of $X$.
dc.description28 pages. This is a slightly updated version of a preprint from 2004. Submitted for publication. In version 2 the Introduction has been changed, two remarks (Remark 7.6 and 7.7) have been added and the list of references has been updated
dc.identifierhttps://arxiv.org/abs/math/0505503
dc.identifierhttp://arxiv.org/abs/math/0505503
dc.identifierInternat. J. Math. 19 (2008), no. 1, 47-90.
dc.identifierdoi:10.1142/S0129167X0800456X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223164
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L55 (primary), 37B10 (secondary)
dc.titleCuntz-Pimsner C*-algebras associated with subshifts
dc.typetext

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