Bounded cohomology of certain groups of homeomorphisms

Matsumoto, Shigenori; Morita, Shigeyuki

doi:10.1090/S0002-9939-1985-0787909-6

Bounded cohomology of certain groups of homeomorphisms
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by Shigenori Matsumoto and Shigeyuki Morita PDF

Proc. Amer. Math. Soc. 94 (1985), 539-544 Request permission

Abstract:

We consider the condition when bounded cohomology injects into ordinary cohomology and prove the vanishing of bounded cohomology of the group of all compactly supported homeomorphisms of ${{\mathbf {R}}^n}$.

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Functional analysis