Homology andK-theory of dynamical systems I. Torsion-free ample groupoids
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Publication:5086963
DOI10.1017/etds.2021.50zbMath1492.19005arXiv2006.08028OpenAlexW3168338839WikidataQ114118789 ScholiaQ114118789MaRDI QIDQ5086963
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Publication date: 8 July 2022
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.08028
spectral sequence\(K\)-theoryBaum-Connes conjectureample groupoidgroupoid homologyreduced groupoid \(C^*\)-algebra
Noncommutative topology (46L85) Kasparov theory ((KK)-theory) (19K35) Dynamical systems with hyperbolic behavior (37D99)
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Cites Work
- Unnamed Item
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- Cantor systems, piecewise translations and simple amenable groups
- Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
- Dualities in equivariant Kasparov theory
- Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras
- A going-down principle for ample groupoids and the Baum-Connes conjecture
- The Baum-Connes conjecture via localisation of categories
- Homological algebra in bivariant \(K\)-theory and other triangulated categories. II
- Equivariant KK-theory and the Novikov conjecture
- Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))
- A groupoid approach to C*-algebras
- Ideals in triangulated categories: Phantoms, ghosts and skeleta
- The Novikov conjecture for hyperbolic foliations
- Equivariant Kasparov theory and groupoids. I
- The Baum-Connes conjecture for amenable foliations
- \(RKK(X)\)-nuclearity (after G. Skandalis)
- Proof of a conjecture of A. Haefliger
- A proof of the gap labeling conjecture
- Representable \(E\)-theory for \(C_0(X)\)-algebras
- Non-Hausdorff groupoids, proper actions and \(K\)-theory
- Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\)
- Equivariant \(E\)-theory for groupoids acting on \(C^{\ast}\)-algebras
- The homology of the Katsura-Exel-Pardo groupoid
- Baum-Connes conjecture and extensions
- Some remarks on topological full groups of Cantor minimal systems II
- Renault's Equivalence Theorem for Reduced Groupoid C*-algebras
- MODULES OVER ÉTALE GROUPOID ALGEBRAS AS SHEAVES
- Homology and topological full groups of étale groupoids on totally disconnected spaces
- Homology of odometers
- Groupoid cohomology and extensions
- Renault's Equivalence Theorem for Groupoid Crossed Products
- A construction of actions on Kirchberg algebras which induce given actions on their K-groups
- 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics
- Topological invariants for substitution tilings and their associated $C^\ast$-algebras
- Tiling spaces are Cantor set fiber bundles
- Crossed products of totally disconnected spaces by
- Groupoids Associated with Endomorphisms
- C*-Algebras from Smale Spaces
- Déformations de $C\sp*$-algèbres de Hopf
- A homology theory for étale groupoids
- Topological conjugacy of topological Markov shifts and Ruelle algebras
- HOMOLOGY AND MATUI’S HK CONJECTURE FOR GROUPOIDS ON ONE-DIMENSIONAL SOLENOIDS
- Ample groupoids: equivalence, homology, and Matui's HK conjecture
- K-THÉORIE BIVARIANTE POUR LES ALGÈBRES DE BANACH, GROUPOÏDES ET CONJECTURE DE BAUM–CONNES. AVEC UN APPENDICE D’HERVÉ OYONO-OYONO
- A spectral sequence for theK-theory of tiling spaces
- Semigroups of local homeomorphisms and interaction groups