Mathematics – Differential Geometry
Scientific paper
1997-10-03
Mathematics
Differential Geometry
13 pages, Latex2e
Scientific paper
We generalize Luck's Theorem to show that the L^2-Betti numbers of a residually amenable covering space are the limit of the L^2-Betti numbers of a sequence of amenable covering spaces. We show that any residually amenable covering space of a finite simplicial complex is of determinant class, and that the L^2 torsion is a homotopy invariant for such spaces. We give examples of residually amenable groups, including the Baumslag-Solitar groups.
No associations
LandOfFree
Residual Amenability and the Approximation of L^2-invariants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Residual Amenability and the Approximation of L^2-invariants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Residual Amenability and the Approximation of L^2-invariants will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-322118