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Simple C*-algebras with Locally Bounded Irreducible Representation

✍ Scribed by Huaxin Lin

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 277 KB
Volume: 187
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3810

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✦ Synopsis

Let A and B be two unital separable simple nuclear C*-algebras with tracial topological rank zero. Suppose that both A and B have the local approximation property: for any finite subset F and e > 0, there is a C*-subalgebra C such that its dimensions of irreducible representations are bounded and dist(x, C) < e for all x ¥ F.

Suppose also that r

) is the homomorphism from K 0 (A) to affine functions on the tracial space of A. Then A 5 B if and only if

Applications to simple crossed products arising from smooth minimal dynamical systems are given. Let M 1 and M 2 be compact manifolds,

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