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On the K–theory of subgroups of virtually connected lie groups

On the K–theory of subgroups of virtually connected lie groups
On the K–theory of subgroups of virtually connected lie groups
We prove that for every finitely generated subgroup G of a virtually connected Lie group which admits a finite-dimensional model for EG, 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 generalized integral Novikov conjecture for such groups.
1472-2747
3467-3483
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075

Kasprowski, Daniel (2016) On the K–theory of subgroups of virtually connected lie groups. Algebraic & Geometric Topology, 15 (6), 3467-3483. (doi:10.2140/agt.2015.15.3467).

Record type: Article

Abstract

We prove that for every finitely generated subgroup G of a virtually connected Lie group which admits a finite-dimensional model for EG, 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 generalized integral Novikov conjecture for such groups.

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Published date: 12 January 2016
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Local EPrints ID: 478532
URI: http://eprints.soton.ac.uk/id/eprint/478532
DOI: doi:10.2140/agt.2015.15.3467
ISSN: 1472-2747
PURE UUID: a26f05c4-b588-4b54-b7db-0ede8bba82f3
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

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Date deposited: 04 Jul 2023 17:48
Last modified: 17 Mar 2024 04:19

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Author: Daniel Kasprowski ORCID iD

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