## Algebraic & Geometric Topology

### On the $K$–theory of subgroups of virtually connected Lie groups

Daniel Kasprowski

#### Abstract

We prove that for every finitely generated subgroup $G$ of a virtually connected Lie group which admits a finite-dimensional model for $E¯G$, 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 6 (2015), 3467-3483.

Dates
Revised: 9 February 2015
Accepted: 9 April 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841074

Digital Object Identifier
doi:10.2140/agt.2015.15.3467

Mathematical Reviews number (MathSciNet)
MR3450768

Zentralblatt MATH identifier
1345.18016

#### Citation

Kasprowski, Daniel. On the $K$–theory of subgroups of virtually connected Lie groups. Algebr. Geom. Topol. 15 (2015), no. 6, 3467--3483. doi:10.2140/agt.2015.15.3467. https://projecteuclid.org/euclid.agt/1510841074

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