Abstract
Let X be an infinite compact metric space with finite covering dimension and let h : X → X be a minimal homeomorphism. We show that the associated crossed product C*-algebra A = C*(ℤ, X, h) has tracial rank zero whenever the image of K0(A) in Aff(T(A)) is dense. As a consequence, we show that these crossed product C*-algebras are in fact simple AH algebras with real rank zero. When X is connected and h is further assumed to be uniquely ergodic, then the above happens if and only if the rotation number associated to h has irrational values.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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