Non-stable \(K\)-theory for Leavitt path algebras.

DOI10.1216/RMJ-2014-44-6-1817zbMath1332.16003arXiv1211.1102OpenAlexW2963101827MaRDI QIDQ2514544

Damon Hay, Martin Montgomery, Katherine Todd, Efren Ruiz, Marissa Loving

Publication date: 3 February 2015

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1102

zbMATH Keywords

finitely generated projective modulesgraph \(C^*\)-algebrasLeavitt path algebrasnonstable K-theory

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) 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) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Representations of quivers and partially ordered sets (16G20)

Related Items

Amplified graph C*-algebras II: Reconstruction ⋮ Classification of unital simple Leavitt path algebras of infinite graphs. ⋮ Semiprojectivity and properly infinite projections in graph \(C^{\ast}\)-algebras ⋮ Realizing corners of Leavitt path algebras as Steinberg algebras, with corresponding connections to graph \(C^{\ast}\)-algebras

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