L^2-Invariants of Finite Aspherical CW-Complexes
| dc.creator | Wegner, Christian | |
| dc.date | 2008-05-27 | |
| dc.date.accessioned | 2026-07-07T09:41:08Z | |
| dc.date.available | 2026-07-07T09:41:08Z | |
| dc.description | Let $X$ be a finite aspherical CW-complex whose fundamental group $π_1(X)$ possesses a subnormal series $π_1(X) \rhd G_m \rhd ... \rhd G_0$ with a non-trivial elementary amenable group $G_0$. We investigate the $L^2$-invariants of the universal covering of such a CW-complex $X$. We show that the Novikov-Shubin invariants $α_n({\tilde X})$ are positive. We further prove that the $L^2$-torsion $ρ^{(2)}({\tilde X})$ vanishes if $π_1(X)$ has semi-integral determinant. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0805.4150 | |
| dc.identifier | http://arxiv.org/abs/0805.4150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161720 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57Q10; 55N99 | |
| dc.title | L^2-Invariants of Finite Aspherical CW-Complexes | |
| dc.type | text |