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 𝔹+∞ 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1839-1873 |
| Number of pages | 35 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 47 |
| Issue number | 6 |
| Early online date | 14 Mar 2016 |
| DOIs | |
| Publication status | Published - 21 Nov 2017 |
Keywords
- semi-cosimplicial object
- coface operator
- partial shift
- braid monoid
- cohomology
- noncommutative probability space
- spreadability
- subfactor
Fingerprint
Dive into the research topics of 'Semi-cosimplicial objects and spreadability'. Together they form a unique fingerprint.Profiles
-
Gwion Evans
- Department of Mathematics - Lecturer, Head of Department (Maths)
Person: Teaching And Research