Kumjian-Pask algebras of locally convex higher-rank graphs.

DOI10.1016/j.jalgebra.2013.09.041zbMath1303.16003arXiv1304.6421OpenAlexW2964343704WikidataQ123777469 ScholiaQ123777469MaRDI QIDQ397871

Lisa Orloff Clark, Astrid an Huef, Claire R. Flynn

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6421

zbMATH Keywords

Leavitt path algebrasCuntz-Krieger uniqueness theoremKumjian-Pask algebrasgraded idealsgraded-uniqueness theoremhigher-rank graphs

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25)

Related Items

Prime and primitive Kumjian–Pask algebras ⋮ Simplicity of algebras via epsilon-strong systems ⋮ Purely infinite simple Kumjian-Pask algebras ⋮ Regular ideals of locally-convex higher-rank graph algebras ⋮ The cycline subalgebra of a Kumjian-Pask algebra ⋮ SUBSETS OF VERTICES GIVE MORITA EQUIVALENCES OF LEAVITT PATH ALGEBRAS ⋮ Unnamed Item ⋮ Non-simple purely infinite Steinberg algebras with applications to Kumjian-Pask algebras ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ Uniqueness theorems for Steinberg algebras ⋮ Cohn path algebras of higher-rank graphs ⋮ Computing the fundamental group of a higher-rank graph ⋮ Kumjian-Pask algebras of finitely aligned higher-rank graphs ⋮ Equivalent groupoids have Morita equivalent Steinberg algebras. ⋮ Dense subalgebras of purely infinite simple groupoidC*-algebras

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