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k-exactness

Journal of K-Theory (1)

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Non-K-exact uniform Roe C*-algebras
Ján Špakula
Journal:

Journal of K-Theory / Volume 10 / Issue 1 / August 2012

Published online by Cambridge University Press:

03 August 2010, pp. 191-201

Print publication:

August 2012
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We prove that uniform Roe C*-algebras C*uX associated to some expander graphs X coming from discrete groups with property (τ) are not K-exact. In particular, we show that this is the case for the expander obtained as Cayley graphs of a sequence of alternating groups (with appropriately chosen generating sets).