Abstract
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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The first author was partially supported by NSFC (Grant No. 11671133)
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Li, Q.H., Wang, R. Some Results on Inner Quasidiagonal C*-algebras. Acta. Math. Sin.-English Ser. 36, 1094–1106 (2020). https://doi.org/10.1007/s10114-020-0039-1
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DOI: https://doi.org/10.1007/s10114-020-0039-1
Keywords
- Inner quasidiagonal C*-algebras
- crossed product C*-algebras
- strongly quasidiagonal C*-algebras
- just-infinite C*-algebras
- topological free entropy dimension