5 citations · 9 across the 5 of their papers we have counts for
5 papers
-Theory for Banach Algebras II: Equivariance and Green-Julg type theorems
Walther Paravicini
We extend the definition of the bivariant -theory from plain Banach algebras to Banach algebras equipped with an action of a locally compact Hausdorff group . We a…
kk-Theory for Banach Algebras I: The Non-Equivariant Case
Walther Paravicini
kk is a bivariant K-theory for Banach algebras that has reasonable homological properties, a product and is Morita invariant in a very general sense. We define it he…
A generalised Green-Julg theorem for proper groupoids and Banach algebras
Walther Paravicini
The Green-Julg theorem states that K_0^G(B) is isomorphic to K_0(L^1(G,B)) for every compact group G and every G-C*-algebra B. We formulate a generalisation of this result to prope…
The Bost conjecture, open subgroups and groups acting on trees
Walther Paravicini
The Bost conjecture with C*-algebra coefficients for locally compact Hausdorff groups passes to open subgroups. We also prove that if a locally compact Hausdorff group acts on a tr…
Induction for Banach algebras, groupoids and KK^ban
Walther Paravicini
Given two equivalent locally compact Hausdorff groupoids, the Bost conjecture with Banach algebra coefficients is true for one if and only if it is true for the other. This also ho…