Symbolic Dynamics, Partial Dynamical Systems, Boolean Algebras and C*-algebras Generated by Partial Isometries

Simple item page
dc.creatorCarlsen, Toke Meier
dc.date2006-04-07
dc.date2006-10-12
dc.date.accessioned2026-07-07T07:10:38Z
dc.date.available2026-07-07T07:10:38Z
dc.descriptionWe associate to each discrete partial dynamical system a universal C*-algebra generated by partial isometries satisfying relations given by a Boolean algebra connected to the discrete partial dynamical system in question. We show that for symbolic dynamical systems like one-sided and two-sided shift spaces and topological Markov chains with an arbitrary state space the C*-algebras usually associated to them, can be obtained in this way. As a consequence of this, we will be able to show that for two-sided shift spaces having a certain property, the crossed product of the two-sided shift space is a quotient of the C*-algebra associated to the corresponding one-sided shift space.
dc.description55 pages. Version 2, which only contains minor changes compared to version 1, is identical to the preprint mentioned below
dc.identifierhttps://arxiv.org/abs/math/0604165
dc.identifierhttp://arxiv.org/abs/math/0604165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111481
dc.subjectOperator Algebras
dc.subjectDynamical Systems
dc.subject46L55 (Primary), 46L05, 37B10, 06E99 (Secondary)
dc.titleSymbolic Dynamics, Partial Dynamical Systems, Boolean Algebras and C*-algebras Generated by Partial Isometries
dc.typetext

Files

Collections

arXiv