Corpus ID: 237572018

The Modular Stone-von Neumann Theorem

@inproceedings{Hall2021TheMS,
  title={The Modular Stone-von Neumann Theorem},
  author={Lucas Hall and Leonard Huang and John Quigg},
  year={2021}
}
  • Lucas Hall, Leonard Huang, John Quigg
  • Published 18 September 2021
  • Mathematics, Physics
In this paper, we use the tools of nonabelian duality to formulate and prove a far-reaching generalization of the Stonevon Neumann Theorem to modular representations of actions and coactions of locally compact groups on elementary C∗-algebras. This greatly extends the Covariant Stone-von Neumann Theorem for Actions of Abelian Groups recently proven by L. Ismert and the second author. Our approach is based on a new result about Hilbert C∗-modules that is simple to state yet is widely applicable… Expand

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