Semi-Cosimplicial Hilbert Spaces with Isometric Coface Operators
Operator Algebras
2026-03-31 v1 K-Theory and Homology
Representation Theory
Abstract
Semi-cosimplicial objects in the category of Hilbert spaces with isometries which are motivated by non-commutative probability theory, in particular by the distributional symmetry of spreadability, are introduced and systematically developed in various directions: partial shifts, cohomology, a related graph, decomposition into labeled subspaces, representation theory of the infinite symmetric and braid groups, extension problems and a toy version of spreadability.
Cite
@article{arxiv.2603.27373,
title = {Semi-Cosimplicial Hilbert Spaces with Isometric Coface Operators},
author = {D. Gwion Evans and Rolf Gohm and Claus Köstler},
journal= {arXiv preprint arXiv:2603.27373},
year = {2026}
}