Operator Theory Seminar (309 VAN) - Peter Burton, PhD; Iowa State University
Apr 25, 2023
01:30 PM - 02:30 PM
30 North Dubuque Street, Iowa City, IA 52242
Intertwining operators between unitary representations of the free group
Peter Burton, PhD; Iowa State University
We consider the question of how to extend an operator connecting two "partial unitary" representations of a discrete group to an intertwining operator between complete unitary representations of the same group. We focus on representations of nonabelian free groups, and our main result is that in this case it is always possible to conduct this extension procedure without increasing the norm of the intertwining operator. Our proceeds by studying positive definite functions and analyzing so-called noncommutative Szego parameters. The work presented is joint with Kate Juschenko.
Individuals with disabilities are encouraged to attend all University of Iowa–sponsored events. If you are a person with a disability who requires a reasonable accommodation in order to participate in this program, please contact in advance at