Assembly maps,K-theory, and hyperbolic groups |
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Authors: | C. Ogle |
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Affiliation: | (1) Department of Mathematics, Ohio State University, 43210 Columbus, OH, USA |
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Abstract: | Following Connes and Moscovici, we show that the Baum-Connes assembly map forK*(C*v) is rationally injective when is word-hyperbolic, implying the Equivariant Novikov conjecture for such groups. Using this result in topologicalK-theory and Borel-Karoubi regulators, we also show that the corresponding generalized assembly map in algebraicK-theory is rationally injective. |
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Keywords: | Cyclic cohomology elliptic group cocycles generalized assembly map hyperbolic groups |
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