Weyl groups of groupoid C*-algebras
Operator Algebras
2025-01-30 v3 Dynamical Systems
Abstract
In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalization of the existing Weyl groups. Then we analyse several groups of automorphisms on groupoid C*-algebras. Finally, we apply our results to Cuntz algebras, graph algebras and C*-algebras associated with Deaconu-Renault systems.
Keywords
Cite
@article{arxiv.2409.04906,
title = {Weyl groups of groupoid C*-algebras},
author = {Fuyuta Komura},
journal= {arXiv preprint arXiv:2409.04906},
year = {2025}
}
Comments
50 pages. Typos are fixed in ver 2. Corollary 4.5.5 is added in ver 3