Structure and \(K\)-theory of crossed products by proper actions

DOI10.1016/j.exmath.2011.05.001zbMath1231.46020arXiv1012.5214OpenAlexW1590288500MaRDI QIDQ634541

Siegfried Echterhoff, Heath Emerson

Publication date: 16 August 2011

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5214

zbMATH Keywords

\(C^*\)-algebraprimitive ideal spaceK-theorycrossed productproper action

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (12)

Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem ⋮ The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy ⋮ Positive scalar curvature and Poincaré duality for proper actions ⋮ Topological \(K\)-theory for discrete groups and index theory ⋮ Amenability of groupoids arising from partial semigroup actions and topological higher rank graphs ⋮ Quantum subgroups of the compact quantum group SU₋₁ (3) ⋮ Structure of crossed products by strictly proper actions on continuous-trace algebras ⋮ \(K\)-theory of crossed products of tiling \(C^*\)-algebras by rotation groups ⋮ Imprimitivity theorems for weakly proper actions of locally compact groups ⋮ Going-down functors and the Künneth formula for crossed products by étale groupoids ⋮ A going-down principle for ample groupoids and the Baum-Connes conjecture ⋮ The analytical assembly map and index theory

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