The completion theorem in K-theory for proper actions of a discrete group

By W. Lück, B. Oliver. 2001

76 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/65a931835924593c9e890067f0c07a618a8749e8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. David Meintrup
2. W. Lück
3. H. Reich
4. Hanfeng Li
5. Arthur Bartels
6. Christian Wegner
7. Michael W. Davis
8. Damien Gaboriau

In Mathematical Physics

1. David Meintrup
2. W. Lück
3. H. Reich
4. Arthur Bartels
5. Hanfeng Li
6. Christian Wegner
7. Michael W. Davis
8. Damien Gaboriau

Citations in the corpus

• On the Universal Space for Group Actions with Compact Isotropy (2003, background): “254], the Isomorphism Conjecture in algebraic K- and L-theory of Farrell and Jones [5], the generalization of the completion theorem of Atiyah and Segal for finite groups to infinite discrete groups [12] and in the construction of classifying spaces for equivariant bundles [4, Section I.”
• The type of the classifying space for a family of subgroups (2000, background): “The space E plays also a role in the extension of the Atiyah–Segal Completion Theorem from nite to in nite groups [17].”
• Survey on Classifying Spaces for Families of Subgroups (2003, background): “its equivariant K-theory defined in terms of equivariant finite dimensional complex vector bundles over X (see [ 56, Theorem 3.2 ]) .I t isa G-cohomolog yt heory with a multiplicative structure.”