Graded \(K\)-theory and Leavitt path algebras

DOI10.1007/s10801-022-01184-5arXiv2201.12400OpenAlexW4308862642MaRDI QIDQ6063393

Unnamed Author, Guillermo Cortiñas

Publication date: 7 November 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12400

zbMATH Keywords

bivariant \(K\)-theoryLeavitt path algebrasHermitian \(K\)-theorygraded \(K\)-theory

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Associative rings and algebras with additional structure (16Wxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

The functor \(K_0^{\operatorname{gr}}\) is full and only weakly faithful

Cites Work

• Equivariant algebraic \(KK\)-theory and adjointness theorems
• Topological and bivariant K-theory
• Group-graded rings and modules
• Graded Steinberg algebras and their representations
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Leavitt path algebras
• Algebraic bivariant \(K\)-theory and Leavitt path algebras.
• Bivariant Hermitian \(K\)-theory and Karoubi's fundamental theorem
• Leavitt path algebras of hypergraphs
• Nonstable \(K\)-theory for graph algebras.
• The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes
• Graded Rings and Graded Grothendieck Groups
• Hermitian K-theory of exact categories
• A note on graded k-theory
• Bivariant algebraic K-theory
• Classifying Leavitt path algebras up to involution preserving homotopy

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