The radius of comparison of the tensor product of a C∗-algebra with C(X)
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Published:2021-06-15
Issue:1
Volume:86
Page:31-50
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ISSN:0379-4024
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Container-title:Journal of Operator Theory
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language:
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Short-container-title:J. Operator Theory
Author:
Asadi Mohammad B., ,Asadi-Vasfi M. Ali,
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.
Publisher
Theta Foundation
Subject
Algebra and Number Theory
Cited by
1 articles.
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