$K$-theory of cluster $C^*$-algebras

DOI10.4064/bc120-2zbMath1444.46050arXiv1512.00276OpenAlexW3099469673MaRDI QIDQ5128731

Igor V. Nikolaev

Publication date: 25 October 2020

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00276

zbMATH Keywords

\(K_0\)-groupcluster \(C^*\)-algebra

Mathematics Subject Classification ID

Noncommutative topology (46L85) Cluster algebras (13F60)

Cites Work

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• On cluster \(C^\ast\)-algebras
• Advanced Łukasiewicz calculus and MV-algebras
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• A groupoid approach to C*-algebras
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Positivity for cluster algebras
• Cluster algebras I: Foundations
• Cluster algebras: an introduction
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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