Banach algebras, Samelson products, and the Wang differential
DOI10.1142/S1793525314500113zbMath1294.46064arXiv1209.4131OpenAlexW2963247948MaRDI QIDQ5415805
Publication date: 16 May 2014
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.4131
Atiyah-Hirzebruch spectral sequenceSamelson productWang sequenceunstable \(K\)-theory\(K\)-theory for Banach algebrasgeneral linear group of a Banach algebraenhanced Samelson productspectral sequence differentialWang differential
Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Homotopy groups of special spaces (55Q52) Generalized cohomology and spectral sequences in algebraic topology (55T25) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)
Cites Work
- Unnamed Item
- A note on the Samelson product in the classical groups
- The order of the differentials in the Atiyah-Hirzebruch spectral sequence
- Real homotopy theory of Kähler manifolds
- A based Federer spectral sequence and the rational homotopy of function spaces
- Nonstable \(K\)-theory for operator algebras
- The stable homotopy of the classical groups
- The Samelson product and rational homotopy for gauge groups
- Banach algebras and Bott periodicity
- The homology groups of the fibre bundles over a sphere
- Homologie singulière des espaces fibrés. Applications
- Some applications of homology theory to homotopy problems
- Spaces of sections of Banach algebra bundles
- ON H-SPACES AND THEIR HOMOTOPY GROUPS
- Compositional Methods in Homotopy Groups of Spheres. (AM-49)
- CONTINUOUS TRACE C*-ALGEBRAS, GAUGE GROUPS AND RATIONALIZATION
- A Connection Between the Whitehead and the Pontryagin Product
This page was built for publication: Banach algebras, Samelson products, and the Wang differential