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

Simone Murro on June 08, 2018
Invariant states.pdf

For any irrational number h, let A be the corresponding Weyl algebra over Z^{2g} and consider the ergodic group of automorphisms of A induced by the action of Sp(2g, Z) on Z^{2g}. We show that the only Sp(2g, Z)-invariant state on A is tracial. This is a joint project with Federico Bambozzi and Nicola Pinamonti

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