##### Department of Mathematics,

University of California San Diego

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### Math 243, functional analysis seminar

## Michael Davis

#### University of Iowa

## Rigidity for von Neumann Algebras of Graph Product Groups

##### Abstract:

I will discuss my ongoing joint work with Ionut Chifan and Daniel Drimbe on various rigidity aspects of von Neumann algebras arising from graph product groups whose underlying graph is a certain cycle of cliques and whose vertex groups are wreath-like product property (T) groups. In particular, I will describe all symmetries of these von Neumann algebras by establishing formulas in the spirit of Genevois and Martin’s results on automorphisms of graph product groups. In doing so, I will highlight the methods used from Popa’s deformation/rigidity theory as well as new techniques pertaining to graph product algebras.

Host: David Jekel and Priyanga Ganesan

### November 15, 2022

### 11:00 AM

APM 6402 and Zoom

(email djekel@ucsd.edu for Zoom info)

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