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

DOI10.1007/s10468-023-10199-warXiv2206.06458OpenAlexW4318041135MaRDI QIDQ6146902

Lia Vaš

Publication date: 15 January 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.06458

zbMATH Keywords

Leavitt path algebragraded Grothendieck groupgraph \(C^\ast \)-algebragraded classification conjecture

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) (K_0) of other rings (19A49) Leavitt path algebras (16S88)

Cites Work

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• The Williams conjecture is false for irreducible subshifts
• Graded Steinberg algebras and their representations
• The graded Grothendieck group and the classification of Leavitt path algebras.
• Leavitt path algebras
• Graded cancellation properties of graded rings and graded unit-regular Leavitt path algebras
• Simplicial and dimension groups with group action and their realization
• Comparability in the graph monoid
• \(K\)-theory classification of graded ultramatricial algebras with involution
• The dynamics of Leavitt path algebras.
• Graded Rings and Graded Grothendieck Groups
• Towards a K-theoretic characterization of graded isomorphisms between Leavitt path algebras
• Amplified graph C*-algebras II: Reconstruction
• Graded \(K\)-theory and Leavitt path algebras
• Lifting morphisms between graded Grothendieck groups of Leavitt path algebras

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