CRC 878 C01 - Non-commutative dynamical systems

Basic data for this project

Description

Non-commutative dynamical systems provide among the most important examples for Non-commutative Geometry and are at the basis of most applications of the theory. We intend to study a number of specific systems that are taken from areas ranging from number theory over geometry and topology to ergodic theory. Our aim is to analyze algebras associated with dynamical systems and to apply methods from the theory of operator algebras to study ergodic theoretic properties of certain dynamical systems.