Tracial weights on topological graph algebras
Operator Algebras
2024-11-20 v1
Abstract
We describe two kinds of regular invariant measures on the boundary path space of a second countable topological graph, which allows us to describe all extremal tracial weights on the graph C-algebra which are not gauge-invariant. Using this description we prove that all tracial weights on the C-algebra of a second countable topological graph are gauge-invariant when the graph is free. This in particular implies that all tracial weights are gauge-invariant when the graph C-algebra is simple and separable.
Keywords
Cite
@article{arxiv.2208.12122,
title = {Tracial weights on topological graph algebras},
author = {Johannes Christensen},
journal= {arXiv preprint arXiv:2208.12122},
year = {2024}
}