- Lara Ismert, Embry–Riddle Aeronautical University, Prescott
- The Covariant Stone-von Neumann Theorem
- 11/30/2020
- 2:00 PM - 2:50 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Brent Nelson (banelson@msu.edu)
In this talk, we formulate and discuss the proof of a generalized Stone-von Neumann Theorem. The generalization extends to certain C*-dynamical systems represented on Hilbert C*-modules. Along the way, we will discuss imprimitivity bimodules and unbounded operators on Hilbert C*-modules. The novelty of our generalization stems from our representation of the Weyl Commutation Relation on Hilbert C*-modules instead of just Hilbert spaces, and our introduction of two additional commutation relations, which are necessary to obtain a uniqueness theorem. This is joint work with Leonard Huang (University of Nevada, Reno).
