Adam Skalski
April 28, 2021
Organized by Europe GNCG Seminar.

Translation invariant noncommutative Dirichlet forms

We shall discuss a class of noncommutative probabilistic evolutions, understood as Markov semigroups acting on von Neumann algebras and associated L^p-spaces. The focus will be placed on quantum counterparts of classical convolution semigroups, i.e. translation invariant evolutions associated to locally compact quantum groups. We will  describe their generators via quantum Dirichlet forms with specific invariance properties, discuss some examples and indicate certain natural further research directions. Based on joint work with Ami Viselter (University of Haifa).

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