Approximate homogeneity is not a local property

• Authors: Marius Dadarlat and Søren Eilers.
• Date: October 1997.
• Status: Appeared in Journal für die Reine und Angewandte Mathematik 507 (1999) 1-14.
• Pages: 16.
• 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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