Hartman Lab

Ben-Gurion University of the Negev

- · Israel

ERC-funded
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Research focus

ERC Starting Grant · 2022

Random Walks on Groups, Commutative and Non-commutative Dynamics

The general goal of the proposed research is to gain a deeper understanding of group properties which are reflected by the theory of random walks. Another goal is to reveal further connections between this theory with the rigidity phenomenon. The main mathematical fields appearing in this research plan are measurable and topological group actions (Ergodic Theory and Topological Dynamics), and group actions on C*-algebras. One of the main objectives is developing a theory towards solving a specific case of Connes’ Rigidity Conjecture, formulated for C*-algebras. Namely, differentiating reduced C*-algebras of irreducible lattices of different ranks. The suggested approach is inspired by a…

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