Groups with Spanier-Whitehead duality
From MaRDI portal
Publication:2193656
DOI10.2140/akt.2020.5.465zbMath1461.46074arXiv1908.03749OpenAlexW3045724987MaRDI QIDQ2193656
Valerio Proietti, Shintaro Nishikawa
Publication date: 20 August 2020
Published in: Annals of \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03749
Baum-Connes conjecturePoincaré dualitynoncommutative topologySpanier-Whitehead dualitydirect splitting method
Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Spanier-Whitehead duality (55P25)
Related Items (2)
On finitely summable Fredholm modules from Smale spaces ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dualities in equivariant Kasparov theory
- The Baum-Connes conjecture with coefficients for hyperbolic groups
- Gravity coupled with matter and the foundation of non-commutative geometry
- Continuous fields of \(C^*\)-algebras over finite dimensional spaces
- Duality in relative homotopy theory
- The Baum-Connes conjecture via localisation of categories
- D-branes, RR-fields and duality on noncommutative manifolds
- Non-commutative correspondences, duality and D-branes in bivariant K-theory
- On a technical theorem of Kasparov
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- 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))
- Groups acting on buildings, operator \(K\)-theory, and Novikov's conjecture
- Strong Morita equivalence of certain transformation group \(C^*\)-algebras
- \(K\)-theoretic duality for shifts of finite type
- Local-global principle for the Baum-Connes conjecture with coefficients
- The Baum-Connes conjecture for hyperbolic groups.
- Groups acting properly on ``bolic spaces and the Novikov conjecture
- Equivariant Kasparov theory and generalized homomorphisms
- Direct splitting method for the Baum-Connes conjecture
- The analytical assembly map and index theory
- K-theoretic duality for hyperbolic dynamical systems
- An equivariant Lefschetz fixed-point formula for correspondences
- KK-theoretic duality for proper twisted actions
- Triangulated Categories
- Lefschetz Numbers for C*-Algebras
- The Baum-Connes conjecture for KK-theory
- Amenability and exactness for dynamical systems and their 𝐶*-algebras
- Equivariant representable K-theory
- Noncommutative Poincaré duality for boundary actions of hyperbolic groups
- Equivariant 𝐸-theory for 𝐶*-algebras
- Spanier–Whitehead K-duality for C∗-algebras
- \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
- A model for the universal space for proper actions of a hyperbolic group
This page was built for publication: Groups with Spanier-Whitehead duality
