Corpus ID: 119143829

Invariant states on Weyl algebras for the action of the symplectic group

@article{Bambozzi2018InvariantSO,
  title={Invariant states on Weyl algebras for the action of the symplectic group},
  author={Federico Bambozzi and Simone Murro and Nicola Pinamonti},
  journal={arXiv: Operator Algebras},
  year={2018}
}
  • Federico Bambozzi, Simone Murro, Nicola Pinamonti
  • Published 2018
  • Mathematics, Physics
  • arXiv: Operator Algebras
  • For any number h such that hbar:=h/(2\pi) is irrational, let A_{g,h} be the corresponding Weyl *-algebra over Z^{2g} and consider the ergodic group of *-automorphisms of A_{g,h} induced by the action of Sp(2g,Z) on Z^{2g}. We show that the only Sp(2g,Z)-invariant state on A_{g,h} is the trace state. 
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