On cluster \(C^\ast\)-algebras

DOI10.1155/2016/9639875zbMath1358.46055arXiv1508.00591OpenAlexW1848748958WikidataQ59126608 ScholiaQ59126608MaRDI QIDQ530253

Igor V. Nikolaev

Publication date: 29 July 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00591

zbMATH Keywords

Teichmüller spaceRiemann surface\(C^\ast\)-algebraTomita-Takesaki theory

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Teichmüller theory for Riemann surfaces (30F60) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (2)

$K$-theory of cluster $C^*$-algebras ⋮ Braid groups and mapping class groups: The Birman–Hilden theory

Cites Work

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• Riemann surfaces and \(AF\)-algebras
• Revisiting the Farey AF algebra
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• Recognizing the Farey-Stern-Brocot AF algebra
• The decorated Teichmüller space of punctured surfaces
• The Teichmüller geodesic flow
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• Prime ideals in free \(\ell\)-groups and free vector lattices
• The Jacobi-Perron algorithm its theory and application
• Cluster algebras I: Foundations
• Cluster algebras: an introduction
• A noncommutative Gauss map
• An AF Algebra Associated with the Farey Tessellation
• On the geometry and dynamics of diffeomorphisms of surfaces
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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