Daniel Beltita

The standard groupoid of a von Neumann algebra

We discuss a certain groupoid that encodes a few key elements of the standard form and of the modular theory of an arbitrary von Neumann algebra. That groupoid does share some features of the Lie groupoids although its space of units is not a smooth manifold. Using this groupoid model we investigate the relation between the standard forms of von Neumann algebras and certain duality phenomena that occur in Poisson geometry. This presentation is based on joint work with Anatol Odzijewicz.

Event sponsored by:
University of Bialystok