On theK–theory of subgroups of virtually connected Lie groups
Copyright policy )On theK–theory of subgroups of virtually connected Lie groups
We prove that for every finitely generated subgroup of a virtually connected Lie group which admits a finite dimensional model for the classifying space for proper actions the assembly map in algebraic K-theory is split injective. We also prove a similar statement for algebraic L-theory, which in particular implies the integral Novikov conjecture for such groups.
13 pages
- Max Planck Institute for Mathematics Germany
- Max Planck Society Germany
- University of Southampton United Kingdom
18F25, 19G24, injectivity of the assembly map, K-Theory and Homology (math.KT), 19B28, 18F25, 19D50, 19G24, 510, 19A31, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, $K$– and $L$–theory of group rings, virtually connected Lie groups
18F25, 19G24, injectivity of the assembly map, K-Theory and Homology (math.KT), 19B28, 18F25, 19D50, 19G24, 510, 19A31, Mathematics - K-Theory and Homology, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, $K$– and $L$–theory of group rings, virtually connected Lie groups
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