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arXiv · 1409.3452

On the K-theory of subgroups of virtually connected Lie groups

Daniel Kasprowski
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Abstract

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.

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Daniel Kasprowski. 2016-01-15. On the K-theory of subgroups of virtually connected Lie groups. https://doi.org/10.2140/agt.2015.15.3467

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