Groups acting on products of trees, tiling systems and analytic \(K\)-theory

zbMath1025.20014arXiv1302.5784MaRDI QIDQ699981

Jason S. Kimberley, A. Guyan Robertson

Publication date: 26 September 2002

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5784

zbMATH Keywords

\(K\)-theory\(C^*\)-algebrasgroup actions on treesTits buildingsproducts of treesBM-groupstorsion free subgroups

Mathematics Subject Classification ID

Trees (05C05) (K)-theory and operator algebras (including cyclic theory) (46L80) Buildings and the geometry of diagrams (51E24) Groups acting on trees (20E08)

Related Items (7)

THE K-THEORY OF THE -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Generalized polygons and star graphs of cyclic presentations of groups ⋮ \(C^{\star}\)-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their \(K\)-theory ⋮ New Simple Lattices in Products of Trees and their Projections ⋮ Computing the fundamental group of a higher-rank graph ⋮ Euler characteristics and Gysin sequences for group actions on boundaries

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