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Subshifts and perforation

  • Julien Giol and David Kerr
Published/Copyright: January 20, 2010
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Journal für die reine und angewandte Mathematik
From the journal Volume 2010 Issue 639

Abstract

We demonstrate that the perforative phenomena shown to occur among simple amenable C*-algebras by Villadsen and Toms can be realized within a dynamical framework. More specifically, we construct a minimal homeomorphism for which the K0 group of the crossed product fails to be weakly unperforated, and a minimal homeomorphism for which the crossed product has the same Elliott invariant as an A𝕋-algebra but has Cuntz semigroup which fails to be almost unperforated.

Received: 2007-12-17
Revised: 2008-09-17
Published Online: 2010-01-20
Published in Print: 2010-February

© Walter de Gruyter Berlin · New York 2010

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