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References (5)
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U. Bader, Christian Rosendal, Roman Sauer (2013)
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Group Actions on Banach SpacesarXiv: Group Theory
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Bachir Bekka, P. Harpe, A. Valette (2008)
Kazhdan's Property (T): KAZHDAN'S PROPERTY (T)
- Publisher
- Wiley
- Copyright
- © 2017 London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms.12018
- Publisher site
- See Article on Publisher Site
Abstract
We show a structural property of cohomology with coefficients in an isometric representation on a uniformly convex Banach space: If the cohomology group H1(G,π) is reduced, then, up to an isomorphism, it is a closed complemented, subspace of the space of cocycles and its complement is the subspace of coboundaries.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Apr 1, 2017
Keywords: ;