K-theoretic duality for hyperbolic dynamical systems
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Publication:2405322
DOI10.1515/crelle-2014-0126zbMath1379.37016arXiv1009.4999OpenAlexW3105041543WikidataQ63997751 ScholiaQ63997751MaRDI QIDQ2405322
Ian F. Putnam, Michael F. Whittaker, Jerome Kaminker
Publication date: 22 September 2017
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.4999
Noncommutative dynamical systems (46L55) Noncommutative measure and integration (46L51) Miscellaneous applications of (K)-theory (19M05) Morse-Smale systems (37D15) Dynamical systems and the theory of (C^*)-algebras (37A55)
Related Items (14)
On finitely summable Fredholm modules from Smale spaces ⋮ Ahlfors regularity and fractal dimension of Smale spaces ⋮ Hyperbolic groupoids and duality ⋮ Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal ⋮ Groups with Spanier-Whitehead duality ⋮ On the K-theory of the stable C\(^{*}\)-algebras from substitution tilings ⋮ Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces ⋮ Spanier–Whitehead K-duality for C∗-algebras ⋮ Poincaré duality for Cuntz-Pimsner algebras ⋮ A Cuntz-Pimsner model for the \(C^\ast \)-algebra of a graph of groups ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ Trace asymptotics for $C^{\ast }$-algebras from Smale spaces ⋮ Transversals, duality, and irrational rotation ⋮ On the $K$-theory of $C^*$-algebras associated to substitution tilings
Cites Work
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- Equivariant KK-theory and the Novikov conjecture
- Noncommutative algebras for hyperbolic diffeomorphisms
- A groupoid approach to C*-algebras
- A class of C*-algebras and topological Markov chains
- Markov maps associated with Fuchsian groups
- A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
- The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
- The Baum-Connes conjecture for amenable foliations
- \(K\)-theoretic duality for shifts of finite type
- Bivariant \(K\)-theory and the Novikov conjecture
- A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
- Group cohomology with Lipschitz control and higher signatures
- \(E\)-theoretic duality for higher rank graph algebras
- 𝐶*-algebras associated with branched coverings
- Functoriality of the C *-Algebras Associated with Hyperbolic Dynamical Systems
- Singular Cohomology Groups
- Cuntz—Krieger algebras associated with Fuchsian groups
- C*-algebras and self-similar groups
- An amenable equivalence relation is generated by a single transformation
- Noncommutative Poincaré duality for boundary actions of hyperbolic groups
- Thermodynamic Formalism
- C*-Algebras from Smale Spaces
- Differentiable dynamical systems
- Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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