In Part 1 of this series of two talks, which aims to explain the results of my dissertation, I will begin with a brief survey of Marc Rieffel’s theory of proper group actions on -algebras. I will then introduce Ralf Meyer’s extension of Rieffel’s work to the theory of square-integrable group actions on Hilbert -modules. In an attempt to generalize Meyer’s ideas so as to incorporate twisted group actions on -algebras, I was led to develop the category of Hilbert modules over a twisted -dynamical system, which will be the main focus of this talk.
Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems (Part 1)