Prime spectrum and primitive Leavitt path algebras

DOI10.1512/iumj.2009.58.3516zbMath1189.16014arXiv0712.2102OpenAlexW2322950123MaRDI QIDQ3628798

Gonzalo Aranda Pino, Mercedes Siles Molina, Enrique Pardo Espino

Publication date: 26 May 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2102

zbMATH Keywords

prime idealsprimitive idealsLeavitt path algebrasprimitive ringsdirect sums of matrix 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) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Leavitt path algebras (16S88)

Related Items (21)

Prime and primitive Kumjian–Pask algebras ⋮ Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ TWO-SIDED CHAIN CONDITIONS IN LEAVITT PATH ALGEBRAS OVER ARBITRARY GRAPHS ⋮ Ideal Structure of Leavitt Path Algebras with Coefficients in a Unital Commutative Ring ⋮ Centers of path algebras, Cohn and Leavitt path algebras ⋮ Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ The Dixmier-Moeglin equivalence for Leavitt path algebras. ⋮ Weakly regular and self-injective Leavitt path algebras over arbitrary graphs. ⋮ Unnamed Item ⋮ A Survey on the Ideal Structure of Leavitt Path Algebras ⋮ Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras ⋮ On prime nonprimitive von Neumann regular algebras ⋮ Realizing posets as prime spectra of Leavitt path algebras ⋮ Atlas of Leavitt path algebras of small graphs ⋮ On Generators of Two-Sided Ideals of Leavitt Path Algebras over Arbitrary Graphs ⋮ The center of a Leavitt path algebra. ⋮ Ideals in graph algebras ⋮ The Projective Leavitt Complex ⋮ Leavitt path algebras: the first decade ⋮ On the gauge action of a Leavitt path algebra.

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