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arXiv · 2405.09214

Hypergraph C*-algebras

Mirjam Trieb·Moritz Weber·Dean Zenner
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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.

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Mirjam Trieb, Moritz Weber, Dean Zenner. 2024-05-15. Hypergraph C*-algebras. https://arxiv.org/abs/2405.09214

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