John Quigg: Ergodic coactions and actions are the same

C*-seminar by John Quigg (Arizona State University).

Abstract: We will discuss a (true) special case of this absurd assertion. It involves coactions of compact groups on M_n. We show that every such coaction is associated with a Fell bundle, and is implemented by a unitary operator. We characterize when the coaction is inner, and when it is ergodic. We apply our techniques to show that the coaction can be effective and ergodic when the group is SO(3), but not SU(2). Joint with Steve Kaliszewski and Magnus Landstad.

Organizer

Ulrik Enstad
Published Mar. 11, 2024 1:14 PM - Last modified May 23, 2024 2:35 PM