Fundamental group of simple $C^*$-algebras with unique trace

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dc.creatorNawata, Norio
dc.creatorWatatani, Yasuo
dc.date2009-04-07
dc.date.accessioned2026-07-07T13:01:15Z
dc.date.available2026-07-07T13:01:15Z
dc.descriptionWe introduce the fundamental group ${\mathcal F}(A)$ of a unital simple $C^*$-algebra $A$ with a unique normalized trace. We compute fundamental groups ${\mathcal F}(A)$ of several nuclear or non-nuclear $C^*$-algebras $A$. K-theoretical obstruction enables us to compute the fundamental group easily. Our study is essentially based on the computation of Picard groups by Kodaka.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0904.1081
dc.identifierhttp://arxiv.org/abs/0904.1081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226094
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46l05; 46l08
dc.titleFundamental group of simple $C^*$-algebras with unique trace
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