A class of $C^*$-algebras generalizing both graph algebras and homeomorphism $C^*$-algebras IV, pure infiniteness

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dc.creatorKatsura, Takeshi
dc.date2005-09-15
dc.date.accessioned2026-07-07T05:23:14Z
dc.date.available2026-07-07T05:23:14Z
dc.descriptionThis is the final one in the series of papers where we introduce and study the $C^*$-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated $C^*$-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as $C^*$-algebras associated with topological graphs.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0509343
dc.identifierhttp://arxiv.org/abs/math/0509343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76354
dc.subjectOperator Algebras
dc.subjectPrimary 46L05; Secondary 46L55, 37B99
dc.titleA class of $C^*$-algebras generalizing both graph algebras and homeomorphism $C^*$-algebras IV, pure infiniteness
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