PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Rokhlin type theorems in operator algebras"
Seminar:Ph.D. Thesis Defense
Speaker:Hung-Chang Liao, Adviser: Nate Brown, Penn State
Abstract Link:http://
Abstract:
The classical Rokhlin lemma in ergodic theory asserts that an ergodic measure preserving transformation on a non-atomic probability space can be approximated by shifts in a suitable sense. In the 1970s, Alain Connes obtained a noncommutative analogue for finite von Neumann algebras, proving that outer Z-actions on the hyperfinite II_1 factor have the so-called Rokhlin property. This result turns out to be fundamental in understanding the symmetry and structure of injective factors of type II and type III. In this talk, we will discuss similar results in the C*-setting, and explain its relationship with covering dimension of nuclear C*-algebras.

Room Reservation Information

Room Number:MB106
Date:04 / 20 / 2016
Time:03:00pm - 05:00pm