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 — including operator-valued weights, affiliated density changes and unitary clocks (in preparation)

Original text CC0 1.0 unless the lesson states other terms.

Phase lesson: source and reader download