News

New Publication for Visiting Assistant Professor Crytser

“Continuous-trace k-graph C*-algebras”, by  Dr. Danny Cryster (Visiting Assistant Professor of Mathematics), was recently accepted for publication in the Rocky Mountain Journal of Mathematics. The abstract is below; congratulations Dr. Crytser!

Abstract: A characterization is given for directed graphs that yield C*-algebras with continuous trace. This is established for row-finite graphs with no sources, first using a groupoid approach, and extended to the general case via the Drinen-Tomforde desingularization. A characterization of continuous-trace AF C*-algebras is obtained. Partial results are given to characterize higher-ran graphs that yield C*-algebras with continuous trace.