Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory

Daniel Gon\c{c}alves; Danilo Royer

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arxiv 1706.03628 v2 pith:QGJIKSWX submitted 2017-06-12 math.RA math.OA

Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory

Daniel Gon\c{c}alves , Danilo Royer This is my paper

classification math.RA math.OA

keywords algebraspathultragraphgroupleavittpartialsimplicityskew

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We realize Leavitt ultragraph path algebras as partial skew group rings. Using this realization we characterize artinian ultragraph path algebras and give simplicity criteria for these algebras.

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Irreducible and permutative representations of ultragraph Leavitt path algebras
math.RA 2019-06 unverdicted novelty 6.0

Complete characterization of perfect, permutative, irreducible representations of ultragraph Leavitt path algebras via extended Chen construction and perfect branching systems, with improved faithfulness criteria.