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Some Results on Inner Quasidiagonal C*-algebras

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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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Correspondence to Qi Hui Li.

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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

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