Mathematics – Operator Algebras
Scientific paper
2008-03-17
Mathematics
Operator Algebras
40 pages, in french
Scientific paper
Let G be a locally compact group and rho a non-unitary finite dimensional
representation of G. We consider tensor products of rho by some unitary
representations of G in order to define two Banach algebras analogous to the
group C*-algebras, C*(G) and C*_r(G). We calculate the K-theory of such
algebras for a large class of groups satisfying the Baum-Connes conjecture.
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