AsymptoticK-Theory for Groups Acting onÃ2Buildings
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Publication:2762713
DOI10.4153/CJM-2001-033-4zbMath0993.46039arXivmath/0011191MaRDI QIDQ2762713
Tim Steger, A. Guyan Robertson
Publication date: 29 January 2002
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0011191
\(C^*\)-algebra\(K\)-theorycrossed product \(C^*\)-algebranonarchimedean local fieldaffine Bruhat-Tits buildingrank two Cuntz-Krieger \(C^*\)-algebrastorsion free lattice
(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Buildings and the geometry of diagrams (51E24)
Related Items (16)
On the K-theory of boundaryC*-algebras of Ã2groups ⋮ Rank-two graphs whose \(C^*\)-algebras are direct limits of circle algebras ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ THEK-THEORY OF SOME HIGHER RANK EXEL–LACA ALGEBRAS ⋮ \(C^{\star}\)-algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their \(K\)-theory ⋮ A dual graph construction for higher-rank graphs, and 𝐾-theory for finite 2-graphs ⋮ Generalised morphisms of 𝑘-graphs: 𝑘-morphs ⋮ Amenable minimal Cantor systems of free groups arising from diagonal actions ⋮ Torsion in boundary coinvariants and \(K\)-theory for affine buildings ⋮ Slightly larger than a graph \(C^*\)-algebra ⋮ Euler characteristics and Gysin sequences for group actions on boundaries ⋮ Harmonic cochains and K-theory for \(\tilde{A}_2\)-groups ⋮ Boundary \(C^\ast\)-algebras of triangle geometries ⋮ Simplicity of \(C^*\)-algebras associated to row-finite locally convex higher-rank graphs ⋮ A gauge invariant uniqueness theorem for corners of higher rank graph algebras ⋮ A family of 2-graphs arising from two-dimensional subshifts
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