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Quantum Statistical Mechanics via Boundary Conditions. A Groupoid Approach to Quantum Spin Systems
Lucas Affonso, Rodrigo Bissacot, Marcelo Laca
We use a groupoid model for the spin algebra to introduce boundary conditions on quantum spin systems via a Poisson point process representation. We can describe KMS states of quan…
math.OA2022
KMS states of quasi-free dynamics on -algebras of product systems over right LCM monoids
Luca Eva Gazdag, Marcelo Laca, Nadia S. Larsen
We generalise recent results of Afsar, Larsen and Neshveyev for product systems over quasi-lattice orders by showing that the equilibrium states of quasi-free dynamics on the Nica-…