Department of Mathematics

Mathematical Physics and Operator Algebras

  •  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).

 

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Department of Mathematics
Michigan State University
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