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