Thu, October 31, 2024
3:00 pm - 4:00 pm
Math Tower (MW) 154
Catalin Georgescu
University of South Dakota
Title
Obstructions to Frame Vectors and Group Representations
Abstract
We investigate obstructions to the existence of frame vectors, in particular related to group representation and we provide examples of groups having faithful representations without frame vectors. As a result of these constructions we obtain a new characterization of amenability and a weaker form of Kazhdan’s property (T). This is joint work with Gabriel Picioroaga.