##### Department of Mathematics,

University of California San Diego

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### Math 243 - Seminar in Operator Algebras

## Remi Boutonnet

#### CNRS and Universite de Bordeaux

## Crossed-products of von Neumann algebras by actions of locally compact groups

##### Abstract:

I will present recent joint work with Arnaud Brothier on actions of locally compact groups on von Neumann algebras. We study algebraic properties of the associated crossed-product algebras, and prove among other things a correspondance result between certain subalgebras of this crossed-product and closed subgroups of the acting group. This generalizes results of Izumi-Longo-Popa. I will explain our (very different) approach, and give related questions and conjectures.

Host: Adrian Ioana

### January 24, 2017

### 2:00 PM

### AP&M 5218

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