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K-theoretic amenability for SL2(Qp), and the action on the associated tree

par Julg, Pierre;Valette, Alain
Référence Journal of functional analysis, 58, 2, page (194-215)
Publication Publié, 1984-09

Article révisé par les pairs

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Résumé :

It is proved that if a locally compact group G acts simplicially on a tree in such a way that the stabilizers of the vertices are amenable, then G is K-amenable. In particular, the canonical map from the full C*-algebra onto the reduced C*-algebra of G induces isomorphisms in K-theory. The main corollary of our result is that SL2(Qp) and some other groups over local fields are K-amenable. © 1984.