\(*\)-regular Leavitt path algebras of arbitrary graphs.

DOI10.1007/s10114-011-0106-8zbMath1279.16003arXiv1302.0379OpenAlexW1998776649MaRDI QIDQ353580

Lia Vaš, Gonzalo Aranda Pino, Kulumani M. Rangaswamy

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0379

zbMATH Keywords

Leavitt path algebras\(*\)-regular algebrasfields with involutionHandelman conjecturepositive-definite involutionsvon Neumann regular algebras

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) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Leavitt path algebras (16S88)

Related Items

TRACES ON SEMIGROUP RINGS AND LEAVITT PATH ALGEBRAS ⋮ Baer and Baer \(\ast\)-ring characterizations of Leavitt path algebras ⋮ Noetherian Leavitt path algebras and their regular algebras. ⋮ \(K\)-theory classification of graded ultramatricial algebras with involution ⋮ Characterizing Rickart and Baer ultragraph Leavitt path algebras ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ On prime nonprimitive von Neumann regular algebras ⋮ Strongly semihereditary rings and rings with dimension. ⋮ Graded cancellation properties of graded rings and graded unit-regular Leavitt path algebras ⋮ Canonical traces and directly finite Leavitt path algebras.

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