Realizing ultragraph Leavitt path algebras as Steinberg algebras

Autor:	Hazrat, R., Nam, T. G.
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	In this article, we realize ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these algebras. Using skew product groupoid, we show that ultragraph Leavitt path algebras are graded von Neumann regular rings. We characterize strongly graded ultragraph Leavitt path algebras and show that every ultragraph Leavitt path algebra is semiprimitive. Moreover, we characterize irreducible representations of ultragraph Leavitt path algebras. We also show that ultragraph Leavitt path algebras can be realized as Cuntz-Pimsner rings. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.04668 Zobrazit plný text záznamu View this record from Arxiv