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

2020/05/16 by Ali Ebadian, Ebadian, Ali, Ali Jabbari +1
Mathematics · Physics and Astronomy · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2005.08079

openalex publication_date 2020/05/16 · openalex created_date 2020/05/21 · openalex updated_date 2026/07/28

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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