Daniel Beltita

On the solvable Lie groups whose regular representation is a factor representation

We present an intrinsic characterization of the solvable Lie groups whose regular representation is a factor representation. The von Neumann algebras of these Lie groups turn out to be isomorphic to the hyperfinite factor of type II$_\infty$. The key to these results is the relation between square-integrable representations and the coadjoint action of solvable Lie groups. The presentation is based on joint work with Ingrid Beltita.

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University of Bialystok