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Some Results on Inner Quasidiagonal C-algebras

In the current article, we prove the crossed product C *-algebra by a Rokhlin action of finite group on a strongly quasidiagonal C *-algebra is strongly quasidiagonal again. We also show that a just-infinite C *-algebra is quasidiagonal if and only if it is inner quasidiagonal. Finally, we compute t...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2020-10, Vol.36 (10), p.1094-1106
Main Authors: Li, Qi Hui, Wang, Rui
Format: Article
Language:English
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Summary:In the current article, we prove the crossed product C *-algebra by a Rokhlin action of finite group on a strongly quasidiagonal C *-algebra is strongly quasidiagonal again. We also show that a just-infinite C *-algebra is quasidiagonal if and only if it is inner quasidiagonal. Finally, we compute the topological free entropy dimension in just-infinite C *-algebras.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-020-0039-1