C*-algebras Generated by Composition Operators

Analysis Seminar
Wednesday, October 3, 2012 - 2:00pm
1 hour (actually 50 minutes)
Skiles 005
James Madison University
In this talk, we investigate the structures of C*-algebras generated by collections of linear-fractionally-induced composition operators and either the forward shift or the ideal of compact operators.  In the setting of the classical Hardy space, we present a full characterization of the structures, modulo the ideal of compact operators, of C*-algebras generated by a single linear-fractionally-induced composition operator and the forward shift.  We apply the structure results to compute spectral information for algebraic combinations of composition operators.  We also discuss related results for C*-algebras of operators on the weighted Bergman spaces.