Minimal dynamics and the classification of C*-algebras.
Let X be an infinite, compact, metrizable space of finite covering dimension and alpha: X --> X a minimal homeomorphism. We prove that the crossed product C(X) times sign, right closed(alpha) Z absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphism by their graded ordered K-theory under the necessary condition that their projections separate traces. This result applies, in particular, to those crossed products arising from uniquely ergodic homeomorphisms.
Toms
Andrew S
AS
Department of Mathematics and Statistics, York University, Toronto, ON, Canada M3J 1P3. atoms@mathstat.yorku.ca
Winter
Wilhelm
W
D000465:Algorithms; D008433:Mathematics; D008962:Models, Theoretical