Centers of algebras associated to higher-rank graphs.

DOI10.4171/RMI/818zbMath1315.16009MaRDI QIDQ2256077

Jonathan H. Brown, Astrid an Huef

Publication date: 19 February 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

centerLeavitt path algebrasKumjian-Pask algebrashigher-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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (7)

Using the Steinberg algebra model to determine the center of any Leavitt path algebra ⋮ SIMPLICITY OF LEAVITT PATH ALGEBRAS VIA GRADED RING THEORY ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ The cycline subalgebra of a Kumjian-Pask algebra ⋮ Uniqueness theorems for Steinberg algebras ⋮ Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids ⋮ A note on the centralizer of a subalgebra of the Steinberg algebra

Cites Work

• Unnamed Item
• Leavitt path algebras with coefficients in a commutative ring.
• Centers of path algebras, Cohn and Leavitt path algebras
• Higher rank graph \(C^*\)-algebras
• The center of a Leavitt path algebra.
• Nonstable \(K\)-theory for graph algebras.
• The Leavitt path algebra of a graph.
• Kumjian-Pask algebras of higher-rank graphs
• Remarks on some fundamental results about higher-rank graphs and their C*-algebras
• Simplicity of C*-algebras associated to higher-rank graphs
• The Socle and Semisimplicity of a Kumjian–Pask Algebra

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