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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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Published in: | Acta mathematica Sinica. English series 2020-10, Vol.36 (10), p.1094-1106 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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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. |
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ISSN: | 1439-8516 1439-7617 |
DOI: | 10.1007/s10114-020-0039-1 |