The cycline subalgebra of a Kumjian-Pask algebra

DOI10.1090/proc/13439zbMath1359.16020arXiv1603.00508OpenAlexW2963186078MaRDI QIDQ2964029

Cristóbal Gil Canto, Lisa Orloff Clark, Alireza Nasr-Isfahani

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00508

zbMATH Keywords

uniqueness theoremhigher-rank graphKumjian-Pask algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Associative rings and algebras arising under various constructions (16S99)

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Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ A generalized uniqueness theorem and the graded ideal structure of Steinberg algebras ⋮ A note on the centralizer of a subalgebra of the Steinberg algebra

Cites Work

• Kumjian-Pask algebras of locally convex higher-rank graphs.
• Kumjian-Pask algebras of finitely aligned higher-rank graphs
• The commutative core of a Leavitt path algebra
• Higher rank graph \(C^*\)-algebras
• Centers of algebras associated to higher-rank graphs.
• Nonstable \(K\)-theory for graph algebras.
• A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs
• The Leavitt path algebra of a graph.
• Cycline subalgebras of 𝑘-graph C*-algebras
• Kumjian-Pask algebras of higher-rank graphs
• Modules without Invariant Basis Number
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
• The Socle and Semisimplicity of a Kumjian–Pask Algebra

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