The radius of comparison of the tensor product of a C*-algebra with C (X)

2020/04/06 by Mohammad B. Asadi, Asadi, Mohammad B., M. Ali Asadi-Vasfi +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2004.03013

openalex publication_date 2020/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a compact metric space, let A be a unital AH algebra with large matrix sizes, and let B be a stably finite unital C*-algebra. Then we give a lower bound for the radius of comparison of C(X) ⊗ B and prove that the dimension-rank ratio satisfies drr (A) = drr (C(X)⊗ A). We also give a class of unital AH algebras A with rc (C(X) ⊗ A) = rc (A). We further give a class of stably finite exact Z-stable unital C*-algebras with nonzero radius of comparison.

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