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arXiv · 1411.1605

Measure theory over boolean toposes

Simon Henry
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Abstract

In this paper we develop a notion of measure theory over boolean toposes which is analogous to noncommutative measure theory, i.e. to the theory of von Neumann algebras. This is part of a larger project to study relations between topos theory and noncommutative geometry. The main result is a topos theoretic version of the modular time evolution of von Neumann algebra which take the form of a canonical R+*-principal bundle over any integrable locally separated boolean topos.

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Simon Henry. 2014-11-06. Measure theory over boolean toposes. https://doi.org/10.1017/s0305004116000700

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