Pure infiniteness, stability and C*-algebras of graphs and dynamical systems

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dc.creatorHjelmborg, Jacob v. B.
dc.date1999-06-29
dc.date.accessioned2026-07-07T05:29:42Z
dc.date.available2026-07-07T05:29:42Z
dc.descriptionPure infiniteness (in sense of E.Kirchberg and M.Rørdam) is considered for C*-algebras arising from singly generated dynamical systems. In particular, Cuntz-Krieger algebras and their generalizations, i.e., graph-algebras and O_A of an infinite matrix A, admit characterizations of pure infiniteness. As a consequence, these generalized Cuntz-Krieger algebras are traceless if and only if they are purely infinite. Also, a characterization of AF-algebras among these C*-algebras is given. In the case of graph-algebras of locally finite graphs, characterizations of stability are obtained.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/9906201
dc.identifierhttp://arxiv.org/abs/math/9906201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78743
dc.subjectOperator Algebras
dc.titlePure infiniteness, stability and C*-algebras of graphs and dynamical systems
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