AT-algebras from zero-dimensional dynamical systems
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Date
2020-09-24
Authors
Herstedt, Paul
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
Abstract
We outline a particular type of zero-dimensional system (which we call "fiberwise essentially minimal"), which, together with the condition of all points being aperiodic, guarantee that the associated crossed product C*-algebra is an AT-algebra. Since AT-algebras of real rank zero are classifiable by K-theory, this is a large step towards a classification theorem for fiberwise essentially minimal zero-dimensional systems.
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Keywords
C*-algebras, Classification, Crossed products, Dynamical systems, Operator algebras