Hypergraph C*-algebras
Operator Algebras
2024-05-20 v2
Abstract
We give a definition of hypergraph C*-algebras. These generalize the well-known graph C*-algebras as well as ultragraph C*-algebras. In contrast to those objects, hypergraph C*-algebras are not always nuclear. We provide a number of non-nuclear examples, we prove a Gauge-Invariant Uniqueness Theorem for a subclass of hypergraph C*-algebras and we study moves on hypergraphs which generalize the moves in the theory of graph C*-algebras.
Keywords
Cite
@article{arxiv.2405.09214,
title = {Hypergraph C*-algebras},
author = {Mirjam Trieb and Moritz Weber and Dean Zenner},
journal= {arXiv preprint arXiv:2405.09214},
year = {2024}
}
Comments
30 pages + appendix; v2: updates in the references