Geodesic
Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
Higson, Nigel1 ; Kasparov, Gennadi2
1 Department of Mathematics, Pennsylvania State University, University Park, PA 16802
2 Institut de Mathématiques de Luminy, CNRS-Luminy-Case 930, 163 Avenue de Luminy 13288, Marseille Cedex 9, France
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 131-142 Cet article a éte moissonné depuis la source American Mathematical Society

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Let $G$ be a countable discrete group which acts isometrically and metrically properly on an infinite-dimensional Euclidean space. We calculate the $K$-theory groups of the $C^{*}$-algebras $C^{*}_{\max }(G)$ and $C^{*}_{ \smash {\text {red}}}(G)$. Our result is in accordance with the Baum-Connes conjecture.
DOI : 10.1090/S1079-6762-97-00038-3

Higson, Nigel 1 ; Kasparov, Gennadi 2

1 Department of Mathematics, Pennsylvania State University, University Park, PA 16802
2 Institut de Mathématiques de Luminy, CNRS-Luminy-Case 930, 163 Avenue de Luminy 13288, Marseille Cedex 9, France 
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Higson, Nigel; Kasparov, Gennadi. Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 131-142. doi: 10.1090/S1079-6762-97-00038-3

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