A geometric representative for the fundamental class in KK-duality of Smale spaces
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Publication:6499950
DOI10.1016/J.JFA.2024.110455MaRDI QIDQ6499950
Dimitris Michail Gerontogiannis, Joachim Zacharias, Michael F. Whittaker
Publication date: 10 May 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Ext and (K)-homology (19K33) Symbolic dynamics (37B10) Noncommutative geometry (à la Connes) (58B34)
Cites Work
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- Dynamical correspondences for Smale spaces
- Equivariant extensions of \(\ast\)-algebras
- Equivariant KK-theory and the Novikov conjecture
- Noncommutative algebras for hyperbolic diffeomorphisms
- On stability of \(C^*\)-algebras
- The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
- \(K\)-theoretic duality for shifts of finite type
- Property A for groups acting on metric spaces.
- Poincaré duality for Cuntz-Pimsner algebras
- Expansiveness, hyperbolicity and Hausdorff dimension
- A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
- Groups with Spanier-Whitehead duality
- A Lefschetz fixed-point formula for certain orbifold C*-algebras
- Spectral triples and finite summability on Cuntz-Krieger algebras
- K-theoretic duality for hyperbolic dynamical systems
- KK-theoretic duality for proper twisted actions
- \(E\)-theoretic duality for higher rank graph algebras
- The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
- Lefschetz Numbers for C*-Algebras
- Finitely presented dynamical systems
- THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
- Noncommutative Poincaré duality for boundary actions of hyperbolic groups
- Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces
- Self-similar hyperbolicity
- A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
- Thermodynamic Formalism
- C*-Algebras from Smale Spaces
- Wieler solenoids, Cuntz–Pimsner algebras and -theory
- The stable algebra of a Wieler solenoid: inductive limits and -theory
- On finitely summable Fredholm modules from Smale spaces
- Ahlfors regularity and fractal dimension of Smale spaces
- Smale space $C^*$-algebras have nonzero projections
- Topological Entropy
- Spanier–Whitehead K-duality for C∗-algebras
- Differentiable dynamical systems
- Markov Partitions for Axiom A Diffeomorphisms
- Periodic Points and Measures for Axiom a Diffeomorphisms
- Markov Partitions and Minimal Sets for Axiom A Diffeomorphisms
- Transversals, duality, and irrational rotation
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