Harmonic cochains and K-theory for \(\tilde{A}_2\)-groups

DOI10.4171/GGD/224zbMath1304.46067arXiv1209.5590OpenAlexW2964251684MaRDI QIDQ2016102

A. Guyan Robertson

Publication date: 19 June 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5590

zbMATH Keywords

operator algebraboundaryEuclidean building

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Buildings and the geometry of diagrams (51E24) Noncommutative geometry (à la Connes) (58B34) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

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• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Cohomology of discrete groups in harmonic cochains on buildings
• Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-Betti numbers
• Torsion in boundary coinvariants and \(K\)-theory for affine buildings
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• AsymptoticK-Theory for Groups Acting onÃ₂Buildings
• Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras
• C*-Algebras Arising from Group Actions on the Boundary of a Triangle Building
• Torsion in \(K\)-theory for boundary actions on affine buildings of type \(\widetilde{A}_n\)

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