Similarities for the maximal tensor product of certain C*-algebras

2024/11/21 by Evangelos Papapetros, Papapetros, Evangelos
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2411.14326

openalex publication_date 2024/11/21 · openalex created_date 2024/11/24 · openalex updated_date 2026/07/28

Abstract

We prove that if the unital C^*-algebras \cl A and \cl B satisfy Kadison's similarity property and the length L=L(\cl A\tens_max\cl B) of their maximal tensor product is finite, then \cl A\tens_max\cl \cl B satisfies Kadison's similarity property with similarity length ℓ(\cl A\tens_max\cl B)≤ L max\ℓ(\cl A), ℓ(\cl B)\.

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