Operator Theory Seminar - Professor Sergii Bezuglyi, Department of Mathematics, The University of Iowa

February 5, 2019 - 1:30pm
309 VAN

"C*-Algebras of Non-Minimal Cantor Systems" by Professor Sergii Bezuglyi, Department of Mathematics, The University of Iowa

Abstract:  I will discuss crossed product C*-algebras for homeomorphisms of a Cantor set with finitely many minimal components.  The principal result states that these algebras have stable rank 2 and real rank 0.  The K-theory and Bratteli diagrams are the main tool in the study of crossed products and their sub-C*-algebras.  All necessary definitions will be given in my talk.  The talk is based on the joint paper with Zhuang Niu and Wei Sun.