Semi-Cosimplicial Objects and Spreadability

2015/08/13 by Evans, D. Gwion, Gohm, Rolf, Köstler, Claus · 1 citation
#FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.1508.03168

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 \mathbbB⁺_∞ 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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