Distance between unitary orbits in C∗-algebras with stable rank one and real rank zero
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Published:2021-11-15
Issue:2
Volume:86
Page:299-316
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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:
Elliott George A., ,Liu Zhichao,
Abstract
Let A be a C∗-algebra with stable rank one and real rank zero. In this paper, it is shown that the usual distance dU defined on the approximate unitary equivalence classes (or unitary orbits) of the positive elements in A is equal to the distance dW defined on morphisms from Cuntz semigroup of C0(0,1] to the Cuntz semigrout of A.
Publisher
Theta Foundation
Subject
Algebra and Number Theory