Irreducible and permutative representations of ultragraph Leavitt path algebras
Rings and Algebras
2019-06-28 v1 Operator Algebras
Abstract
We completely characterize perfect, permutative, irreducible representations of an ultragraph Leavitt path algebra. For this we extend to ultragraph Leavitt path algebras Chen's construction of irreducible representations of Leavitt path algebras. We show that these representations can be built from branching system and characterize irreducible representations associated to perfect branching systems. Along the way we improve the characterization of faithfulness of Chen's irreducible representations.
Keywords
Cite
@article{arxiv.1906.11602,
title = {Irreducible and permutative representations of ultragraph Leavitt path algebras},
author = {Daniel Gonçalves and Danilo Royer},
journal= {arXiv preprint arXiv:1906.11602},
year = {2019}
}