Paula B. Cohen
Dedekind Zeta Functions and Quantum Statistical Mechanics
Preprint series:
ESI preprints
- MSC:
- 11M26 Nonreal zeros of \(zeta (s)\) and \(L(s, chi)\); Riemann and other hypotheses
- 11R42 Zeta functions and \(L\)-functions of number fields, See also {11M41, 19F27}
- 11S40 Zeta functions and \(L\)-functions, See also {11M41, 19F27}
- 46L55 Noncommutative dynamical systems, See also {28Dxx, 54H20,
Abstract: In this article we construct a C*-dynamical system with partition
function the Dedekind zeta function of a given number field and with
a phase transition at the pole of this zeta function which detects a
breaking of symmetry with respect to a natural symmetry group.
This extends work of Bost-Connes and Harari-Leichtnam.
Keywords: C*-Hecke Algebras, zeta functions, C*-dynamical systems
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