Abstract:Amenable actions of locally compact groups on von Neumann algebras are investigated by exploiting the natural module structure of the crossed product over the Fourier algebra of the acting group. The resulting characterisation of injectivity for crossed products generalises a result of Anantharaman-Delaroche on discrete groups. Amenable actions of locally compact groups on C * -algebras are investigated in the same way, and amenability of the action is related to nuclearity of the corresponding crossed product… Show more
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