Transversals, duality, and irrational rotation
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Publication:5853602
DOI10.1090/btran/54zbMath1461.19004arXiv1906.00079OpenAlexW2947102715MaRDI QIDQ5853602
Publication date: 11 March 2021
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.00079
Morita equivalencenoncommutative torus\(KK\)-theoryPoincaré dualityirrational rotation algebraunbounded \(KK\)-cycles
(C^*)-modules (46L08) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34)
Cites Work
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- The \(KK\)-product of unbounded modules
- Gravity coupled with matter and the foundation of non-commutative geometry
- Poincaré duality and Langlands duality for extended affine Weyl groups
- The Godbillon-Vey invariant and equivariant \(KK\)-theory
- The Baum-Connes conjecture via localisation of categories
- The longitudinal index theorem for foliations
- Representations and automorphisms of the irrational rotation algebra
- Equivariant KK-theory and the Novikov conjecture
- A groupoid approach to C*-algebras
- The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
- \(K\)-theoretic duality for shifts of finite type
- Equivariant Euler characteristics and \(K\)-homology Euler classes for proper cocompact \(G\)-manifolds
- Poincaré duality for Cuntz-Pimsner algebras
- On the unbounded picture of \(KK\)-theory
- Unbounded bivariant \(K\)-theory and correspondences in noncommutative geometry
- The class of a fibre in noncommutative geometry
- K-theoretic duality for hyperbolic dynamical systems
- Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules
- KK-theoretic duality for proper twisted actions
- Lefschetz Numbers for C*-Algebras
- Noncommutative Poincaré duality for boundary actions of hyperbolic groups
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