Chern character for totally disconnected groups |
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Authors: | Christian Voigt |
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Institution: | (1) Institut for Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark |
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Abstract: | In this paper we construct a bivariant Chern character for the equivariant KK-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
We prove in particular that the complexified left hand side of the Baum–Connes conjecture for a totally disconnected group
is isomorphic to cosheaf homology. Moreover, it is shown that our transformation extends the Chern character defined by Baum
and Schneider for profinite groups. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 46L80 19D55 55N91 19L47 |
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