KMS states and conformal measures

Details KMS states and conformal measures KMS states and conformal measures

2011-09-11

arxiv.org/abs/1109.2336v3

Mathematics

Operator Algebras

Typos fixed and the last section revised

Scientific paper

From a non-constant holomorphic map on a connected Riemann surface we construct an 'etale second countable locally compact Hausdorff groupoid whose associated groupoid C*-algebra admits a one-parameter group of automorphisms with the property that its KMS states corresponds to conformal measures in the sense of Sullivan. In this way certain quadratic polynomials give rise to quantum statistical models with a phase transition arising from spontaneous symmetry breaking.

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