Analysis Seminar

Ryoya Arimoto, Kyoto University

Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries

Results of Archbold and Spielberg, and Kalantar and Kennedy assert that a discrete group admits a topologically free boundary if and only if the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. In this talk, I will show a similar result for totally disconnected locally compact groups.