Quantum statistical mechanics and class field Theory

Details Quantum statistical mechanics and class field Theory Quantum statistical mechanics and class field Theory

2007-02-13

arxiv.org/abs/math/0702379v1

Mathematics

Number Theory

Survey article. To appear in the proceedings of the summer school "Geometric and topological methods for quantum field theory"

Scientific paper

We survey some results relating noncommutative geometry to the class field
theory of number fields. These results appear within the context of quantum
statistical mechanics where some arithmetic properties of a given number field
can be realized in terms of the structure of equilibrium states of a quantum
statistical mechanical system.

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