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Publication Date:
June 2008
ISSN:
1435-5345
DOI:
10.1515/crll.1999.507.1

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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk

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Approximate homogeneity is not a local property

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Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 1999, Issue 507, Pages 1–13, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crll.1999.507.1, June 2008

Publication History:
Received:
1997-11-11
Published Online:
2008-06-12

Abstract

It is shown that the AH algebras satisfy a certain splitting property at the level of K-theory with torsion coefficients. The splitting property is used to prove the following:

  1. There are locally homogeneous C*-algebras which are not AH algebras.

  2. The class of AH algebras is not closed under countable inductive limits.

  3. There are real rank zero split quasidiagonal extensions of AH algebras which are not AH algebras.

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