Extreme cycles. The center of a Leavitt path algebra.

DOI10.5565/PUBLMAT_60116_01zbMath1350.16005arXiv1307.5252OpenAlexW1860295812MaRDI QIDQ5963194

José F. Solanilla Hernández, Mercedes Siles Molina, Cándido Martín González, Dolores Martín Barquero, María Guadalupe Corrales García

Publication date: 4 March 2016

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5252

zbMATH Keywords

centers of Leavitt path algebrasdirect sums of purely infinite simple ringsextreme cyclesline pointssocle

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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Leavitt path algebras (16S88)

Related Items (10)

Using the Steinberg algebra model to determine the center of any Leavitt path algebra ⋮ Invariant ideals in Leavitt path algebras ⋮ The commutative core of a Leavitt path algebra ⋮ Largest ideals in Leavitt path algebras ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ Unnamed Item ⋮ Centers of Leavitt path algebras and their completions ⋮ Centers of Cuntz–Krieger C*-algebras ⋮ Primitivity of prime countable-dimensional regular algebras ⋮ A note on the Dixmier-Moeglin equivalence in Leavitt path algebras of arbitrary graphs over a field

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