Entropy, Determinants, and l2-Torsion

Andreas Thom (University of Leipzig)

Tuesday 14th January, 2014 16:00-17:00 Maths 416


This talk is about the relationship between the entropy of certain dynamical systems and certain determinants defined on infinite-dimensional algebras of operators. All notions will be motivated and explained in detail. This work leads to the proof of a conjecture by Christopher Deninger about the entropy of principal algebraic actions as well as a proof of a conjecture by Wolfgang Lück about the vanishing of L2-Torsion of amenable groups.

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