Simple Cuntz-Pimsner rings.

DOI10.1016/j.jalgebra.2012.08.005zbMath1273.16006arXiv1110.6923OpenAlexW2036396741MaRDI QIDQ1952145

Toke Meier Carlsen, Enrique Pardo Espino, Eduardo Ortega

Publication date: 27 May 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6923

zbMATH Keywords

crossed productssimplicityLeavitt path algebrasgraded idealscondition (K)condition (L)invariant cyclesCuntz-Krieger uniquenessCuntz-Pimsner ringsfractional skew monoid ringsToeplitz rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20) Classifications of (C^*)-algebras (46L35) Graded rings and modules (associative rings and algebras) (16W50) Ideals in associative algebras (16D25) Twisted and skew group rings, crossed products (16S35)

Related Items (3)

Topological freeness for \(C^{\ast}\)-correspondences ⋮ The graded structure of algebraic Cuntz-Pimsner rings ⋮ \(\mathbb{Z}\)-graded rings as Cuntz-Pimsner rings

Cites Work

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