Algebraic bivariant \(K\)-theory and Leavitt path algebras.

DOI10.4171/JNCG/397zbMath1468.19008arXiv1806.09204OpenAlexW3126952524MaRDI QIDQ2043505

Diego Montero, Guillermo Cortiñas

Publication date: 2 August 2021

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09204

zbMATH Keywords

classificationbivariant \(K\)-theoryLeavitt path algebraquasi-homomorphismUCTCohn algebra

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) Kasparov theory ((KK)-theory) (19K35) Computations of higher (K)-theory of rings (19D50)

Related Items (5)

Lifting graph C∗$C^*$‐algebra maps to Leavitt path algebra maps ⋮ Graded \(K\)-theory and Leavitt path algebras ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ Classifying Leavitt path algebras up to involution preserving homotopy ⋮ Graded \(K\)-theory, filtered \(K\)-theory and the classification of graph algebras

Cites Work

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• Delooping classifying spaces in algebraic K-theory
• Classification of Cuntz-Krieger algebras
• Leavitt path algebras
• Homotopy classification of Leavitt path algebras
• Classification of unital simple Leavitt path algebras of infinite graphs.
• $K$-theory of Leavitt path algebras
• The Module Type of a Ring
• Bivariant algebraic K-theory

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