[图书][B] L2-invariants: theory and applications to geometry and K-theory

W Luck - 2002 - maths.ed.ac.uk
There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

[图书][B] Global aspects of ergodic group actions

AS Kechris - 2010 - books.google.com
" The subject of this book is the study of ergodic, measure preserving actions of countable
discrete groups on standard probability spaces. It explores a direction that emphasizes a …

Survey on classifying spaces for families of subgroups

W Lück - Infinite groups: geometric, combinatorial and dynamical …, 2005 - Springer
We define for a topological group G and a family of subgroups F two versions for the
classifying space for the family F, the G-CW-version E_ F (G) and the numerable G-space …

The Baum-Connes and the Farrell-Jones conjectures in K-and L-theory

W Lück, H Reich - arXiv preprint math/0402405, 2004 - arxiv.org
arXiv:math/0402405v1 [math.KT] 25 Feb 2004 Page 1 arXiv:math/0402405v1 [math.KT] 25
Feb 2004 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory Wolfgang …

A basic introduction to surgery theory

W Lück - 2002 - inis.iaea.org
[en] This manuscript contains extended notes of the lectures presented by the author at the
summer school'High-dimensional Manifold Theory'in Trieste in May/June 2001. It is written …

Some groups of type VF

IJ Leary, BEA Nucinkis - Inventiones mathematicae, 2003 - Springer
A group is of type VF if it has a finite-index subgroup which has a finite classifying space. We
construct groups of type VF in which the centralizers of some elements of finite order are not …

[PDF][PDF] Orbit inequivalent actions for groups containing a copy of

A Ioana - arXiv preprint math/0701027, 2006 - arxiv.org
arXiv:math/0701027v2 [math.GR] 21 Mar 2008 Page 1 arXiv:math/0701027v2 [math.GR] 21
Mar 2008 ORBIT INEQUIVALENT ACTIONS FOR GROUPS CONTAINING A COPY OF F2 …

A model for the universal space for proper actions of a hyperbolic group

D Meintrup, T Schick - arXiv preprint math/0209163, 2002 - arxiv.org
Let $ G $ be a word hyperbolic group in the sense of Gromov and $ P $ its associated Rips
complex. We prove that the fixed point set $ P^ H $ is contractible for every finite subgroups …

[PDF][PDF] On the universal space for group actions with compact isotropy

W Luck, D Meintrup - Contemporary Mathematics, 2000 - academia.edu
Let G be a locally compact topological group and EG its universal space for the family of
compact subgroups. We give criteria for this space to be G-homotopy equivalent to a d …

On algebraic and geometric dimensions for groups with torsion

N Brady, IJ Leary, BEA Nucinkis - Journal of the London …, 2001 - cambridge.org
Various notions of dimension for discrete groups are compared. A group is exhibited that
acts with finite stabilizers on an acyclic 2-complex in such a way that the fixed point …