A Note on Approximately Divisible C$^*$-algebras

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dc.creatorLi, Weihua
dc.creatorShen, Junhao
dc.date2008-04-03
dc.date2008-04-21
dc.date.accessioned2026-07-07T09:33:24Z
dc.date.available2026-07-07T09:33:24Z
dc.descriptionLet $\mathcal A$ be a separable, unital, approximately divisible C$^*$-algebra. We show that $\mathcal A$ is generated by two self-adjoint elements and the topological free entropy dimension of any finite generating set of $\mathcal A$ is less than or equal to 1. In addition, we show that the similarity degree of $\mathcal A$ is at most 5. Thus an approximately divisible C$^*$-algebra has an affirmative answer to Kadison's similarity problem.
dc.identifierhttps://arxiv.org/abs/0804.0465
dc.identifierhttp://arxiv.org/abs/0804.0465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159118
dc.subjectOperator Algebras
dc.subject46L05
dc.titleA Note on Approximately Divisible C$^*$-algebras
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