PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Tensor Products of C*-Algebras"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Aleksey Zelenberg, Adviser: Nate Brown, Penn State
Abstract Link:http://
Abstract:
Nuclearity has been a central concept in the classification efforts of C*-algebras via K-theoretic invariants. A classical example of this is Elliot's theorem, which provides a complete classification of AF algebras by their ordered K_0 groups. This initiated an ongoing effort to classify (certain classes of) algebras in similar ways. Nuclear C*-algebras are prime candidates for such classification efforts due to their finite dimensional approximation properties. As such, it is important to have a framework to understand when certain algebras are nuclear. Fortunately, a theorem of Choi, Effros, and Kirchberg establishes an equivalence between nuclear C*-algebras A and those algebras for which there is a unique tensor product norm on the algebraic tensor product of A and any other C* algebra B. In this talk, I will go into some of the details involved with these ideas, give examples, and speak briefly about the connection to (discrete) group algebras.

Room Reservation Information

Room Number:103 Osmond Laboratory
Date:04 / 11 / 2012
Time:08:30am - 10:30am