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On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces

Masanori Morishita

Abstract

We give a relation between Deninger's foliated dynamical systems associated to abelian number fields and Connes-Consani's adelic spaces. It fits with the analogy between knots and primes in arithmetic topology and lights up a geometric view of class field theory.

On a relation between Deninger's foliated dynamical systems and Connes-Consani's adelic spaces

Abstract

We give a relation between Deninger's foliated dynamical systems associated to abelian number fields and Connes-Consani's adelic spaces. It fits with the analogy between knots and primes in arithmetic topology and lights up a geometric view of class field theory.

Paper Structure

This paper contains 102 equations.

Theorems & Definitions (3)

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