Project C: Non-commutative geometry and probability


In this part of our research program, geometry, groups and their actions are studied with methods related to analysis. Actions are studied using concepts from functional analysis, non-commutative geometry, ergodic theory or probability. Groups are studied using their representations on Hilbert spaces and by associating algebras of operators. Differential and algebraic geometry is generalized to the noncommutative setting using generalized "algebras of functions". Dynamical systems and processes are studied from the point of view of probabilistic or ergodic properties. Many of the projects in this research area have close connections to problems and structures studied in number theory or in topology and thus to the research areas A and B. Read more...

Subprojects

Principal investigators

Participating scientists


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