# Rokhlin dimension for finite group actions - a survey

## GAP Seminar

## Meeting Details

For more information about this meeting, contact Kristin Berrigan, Ping Xu, Nigel Higson, Mathieu Stiénon, Matthew Peddie.

**Speaker:** Ilan Hirshberg, Ben-Gurion University of the Negev

**Abstract:** Suppose G is a finite group acting on a unital C*-algebra A. The Rokhlin property for such an action, introduced by Izumi, involves having partitions of unity given by projections, which are almost permuted by the group action and almost central. Rokhlin dimension is a generalization of the Rokhlin property, where the conditions on the partition of unity are relaxed. Namely, rather than projections, we require that the partitions of unity are given by positive elements, allowing for controlled overlaps. In this talk, I will explain what is finite Rokhlin dimension for finite group actions, why it is interesting, and conditions in which it does and does not hold.

## Room Reservation Information

**Room Number:** 106 McAllister

**Date:** 04/16/2019

**Time:** 2:30pm - 3:30pm