Topological Free Entropy Dimensions in Nuclear C$^*$-algebras and in Full Free Products of C$^*$-algebras

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dc.creatorHadwin, Don
dc.creatorLi, Qihui
dc.creatorShen, Junhao
dc.date2008-02-03
dc.date2008-11-18
dc.date.accessioned2026-07-07T10:18:31Z
dc.date.available2026-07-07T10:18:31Z
dc.descriptionIn the paper, we introduce a new concept of topological orbit dimension of $n$-tuples of elements in a unital C$^*$ algebra. Using this concept, we conclude that the Voiculescu's topological free entropy dimension of any family of self-adjoint generators of a nuclear C$^*$ algebra is less than or equal to 1. We also show that the topological free entropy dimension is additive in the full free products of unital C$^*$ algebras. In the appendix, we show that unital full free product of Blackadar and Kirchberg's unital MF algebras is also MF algebra.
dc.identifierhttps://arxiv.org/abs/0802.0281
dc.identifierhttp://arxiv.org/abs/0802.0281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174214
dc.subjectOperator Algebras
dc.titleTopological Free Entropy Dimensions in Nuclear C$^*$-algebras and in Full Free Products of C$^*$-algebras
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