On quantum Cayley graphs
Operator Algebras
2024-12-11 v2 Quantum Algebra
Abstract
We clarify the correspondence between the two approaches to quantum graphs: via quantum adjacency matrices and via quantum relations. We show how the choice of a (possibly non-tracial) weight manifests itself on the quantum relation side and suggest an extension of the theory of quantum graphs to the infinite dimensional case. Then we use this framework to introduce quantum graphs associated to discrete quantum groups, leading to a new definition of a quantum Cayley graph.
Keywords
Cite
@article{arxiv.2306.15315,
title = {On quantum Cayley graphs},
author = {Mateusz Wasilewski},
journal= {arXiv preprint arXiv:2306.15315},
year = {2024}
}
Comments
32 pages, this is the author accepted manuscript