An Algebraic Approach to the Weyl Groupoid
Operator Algebras
2020-12-10 v3 Rings and Algebras
Abstract
We unify the Kumjian-Renault Weyl groupoid construction with the Lawson-Lenz version of Exel's tight groupoid construction. We do this by utilising only a weak algebraic fragment of the C*-algebra structure, namely its *-semigroup reduct. Fundamental properties like local compactness are also shown to remain valid in general classes of *-rings.
Cite
@article{arxiv.1911.08812,
title = {An Algebraic Approach to the Weyl Groupoid},
author = {Tristan Bice},
journal= {arXiv preprint arXiv:1911.08812},
year = {2020}
}