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arXiv · 2005.08079

Weakly Nuclear Maps on Real $C^*$-algebras and Quasidiagonality of These Algebras

Ali Ebadian·Ali Jabbari
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Abstract

In this paper, we show that a completely positive linear map is weakly nuclear if and only if its complexification is weakly nuclear. It is shown that a real $C^*$-algebra is exact if and only if its complexification is exact and similar case is provided for the quasidiaginality.

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Ali Ebadian, Ali Jabbari. 2020-05-16. Weakly Nuclear Maps on Real $C^*$-algebras and Quasidiagonality of These Algebras. https://arxiv.org/abs/2005.08079

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