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arXiv · 1508.03168

Semi-Cosimplicial Objects and Spreadability

D. Gwion Evans·Rolf Gohm·Claus Köstler
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Abstract

To a semi-cosimplicial object (SCO) in a category we associate a system of partial shifts on the inductive limit. We show how to produce an SCO from an action of the infinite braid monoid $\mathbb{B}^+_\infty$ and provide examples. In categories of (noncommutative) probability spaces SCOs correspond to spreadable sequences of random variables, hence SCOs can be considered as the algebraic structure underlying spreadability.

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D. Gwion Evans, Rolf Gohm, Claus Köstler. 2015-08-13. Semi-Cosimplicial Objects and Spreadability. https://arxiv.org/abs/1508.03168

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