PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Rokhlin Actions on AF algebras and Classifiability"
Seminar:Ph.D. Thesis Defense
Speaker:Michael Tseng, Adviser: Nate Brown, Penn State
Abstract:
The notion of nuclear dimension, introduced by Winter and Zacharias, has provided a new, and very possibly the definitive, point of view for the classification of separable simple nuclear C∗-algebras. In this thesis, the C∗-algebras under consideration are crossed products of the type C oα N where C is an approximately finite dimensional algebra and α is a corner endomorphism with the Rokhlin property. We compute their nuclear dimension and show that they absorb the Jiang-Su algebra tensorially. In light of the new guiding principle that nuclear dimension should imply classifiability, we then revisit previous work, largely due to Rørdam, establishing the classifiability of such crossed products.

Room Reservation Information

Room Number:MB106
Date:05 / 22 / 2012
Time:10:00am - 12:00pm