Operator-algebraic statistical mechanics and the Bost–Connes system

Arithmetic equilibrium states, Hecke algebras, thermal time and current observables.

1. KMS states and thermal time
2. Fermion observables inside Jones and graph algebras (in preparation)
3. The Bost–Connes Hecke algebra (in preparation)
4. Phase transition in the Bost–Connes system (in preparation)

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