Noncommutative Geometry and Hyperbolic Dynamics

Jerry Kaminker

Mathematics Department
University of Colorado, Boulder

Tuesday, April 2, 1998
4:00 PM

Room 102, Bradley Hall

There is a long tradition of interaction between operator algebras and ergodic theory and dynamics. This talk will describe some recent aspects of this. The first part will be a brief survey of the relevant parts of noncommutative geometry. These ideas will then be applied to hyperbolic dynamical systems where "noncommutative spaces" with surprising properties appear. Finally, some applications to compact abelian groups admitting expansive automorphisms will be discussed.