Crynodeb
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.
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.
| Iaith wreiddiol | Saesneg |
|---|---|
| Tudalennau (o-i) | 1839-1873 |
| Nifer y tudalennau | 35 |
| Cyfnodolyn | Rocky Mountain Journal of Mathematics |
| Cyfrol | 47 |
| Rhif cyhoeddi | 6 |
| Dyddiad ar-lein cynnar | 14 Maw 2016 |
| Dynodwyr Gwrthrych Digidol (DOIs) | |
| Statws | Cyhoeddwyd - 21 Tach 2017 |
