Symmetries of the C*-algebra of a vector bundle

Wednesday, February 27, 2019 - 2:00pm to 2:50pm
Location: 
WXLR A 308

Speaker

Valentin Deaconu
University of Nevada, Reno

Abstract

We recall the definition of the Cuntz-Pimsner algebra O_E of a Hermitian vector bundle E -> X and discuss some results related to K-theory. We review certain facts about the structure of G-vector bundles for G a compact group. Since G acts on Gamma(E) and on O_E, our goal is to study the crossed product O_E x G using the Hao-Ng Theorem. We focus on the particular cases when the action on E -> X is free, trivial on X, or transitive. We discuss the possibility of similar results for groupoid actions.

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