Texas A&M University, Department of Mathematics, 216 Milner Hall, 2nd of March 2005, 3:00-3:50

Groups and Dynamics Seminar


Cuntz-Pimsner algebras of group actions

Volodymyr Nekrashevych of International University Bremen, Germany

Self-similarity of automata groups can be encoded in terms of a bimodule over the group algebra. We will study the completions of the group algebra which agree with the bimodule and the Cuntz-Pimsner algebras of the obtained Hilbert bimodules. Relations with computations of spectra will be also discussed.