Continuous bounded cohomology of locally compact groups

@inproceedings{Ducimetire2000ContinuousBC,
  title={Continuous bounded cohomology of locally compact groups},
  author={Nicolas Ducimeti{\`e}re},
  year={2000}
}
We introduce and study the theory of continuous bounded cohomology of topological groups with coefficients in Banach modules. This encompasses the bounded cohomology of abstract groups as a special case ;ourmainresultsarealsonewinthissetting.Certaintechniques,suchasinductionandspectralsequences,arein¬spiredbyclassicalcohomology.Othersarespecifictothisnewtheory:thisisthecaseoftheuseofamenableactionsanddoubleergodicitywithcoefficients… 
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