Purely atomic representations of higher-rank graph C*-algebras
Operator Algebras
2018-06-14 v2
Abstract
We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equivalent and we give necessary and sufficient conditions for a purely atomic representation to be irreducible in terms of the associated projection valued measure. We also investigate the relationship between purely atomic representations, monic representations and permutative representations, and we describe when a purely atomic representation admits a decomposition consisting of permutative representations.
Keywords
Cite
@article{arxiv.1806.03570,
title = {Purely atomic representations of higher-rank graph C*-algebras},
author = {Carla Farsi and Elizabeth Gillaspy and Palle Jorgensen and Sooran Kang and Judith Packer},
journal= {arXiv preprint arXiv:1806.03570},
year = {2018}
}
Comments
This paper constitutes a partial replacement of arXiv:1709.00592; the latter will not be submitted for publication