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arXiv · 2209.13169

Nonpure (Non)Commutative Analysis, Geometry and Mechanics, part 1: differential and integral calculus

Seyed Ebrahim Akrami
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Abstract

We construct and study differential and integral calculus on the space of states of a C*-algebra by equipping it with a formal smooth structure. To achieve this goal we first concentrate on the space of nonpure states of a commutative C*-algebra as a guideline for the noncommutative case. In particular, we prove Stokes' theorem over the both commutative and noncommutative smooth Wasserstein space.

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Seyed Ebrahim Akrami. 2022-09-27. Nonpure (Non)Commutative Analysis, Geometry and Mechanics, part 1: differential and integral calculus. https://arxiv.org/abs/2209.13169

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