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Classification of C*-algebras and minimal homeomorphisms with mean dimension zero

Banff International Research Station for Mathematical Innovation and Discovery

Slow dimension growth condition is one of essentials in the classification of simple amenable C*-algebras, and it implies that the algebra is regular for the purpose of the classification, i.e., the algebra absorbs the Jiang-Su algebra Z tensorially. Consider a minimal homeomorphism with mean dimension zero, then the corresponding C*-algebra is shown to have slow dimension growth, and hence is covered by the recent progress of the classification program. In particular, this includes the C*-algebra of any uniquely ergodic system. The talk is based on a joint work with George A. Elliott.

Mathematics; Dynamical systems and ergodic theory; Global analysis, analysis on manifolds; Dynamical systems

video/mp4

Author affiliation: University of Wyoming

2018-01-22

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/64436

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/