The Baum-Connes Conjecture for Groupoids

By J. Tu. 2000

65 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ee59f7498dc5f0b3f225c88c64b5ad5aca5dfa6e

How researchers see this paper

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

In Algebra and Number Theory

1. Rufus Willett
2. Martin Finn-Sell
3. Ján Špakula
4. J. Tu

In Mathematical Physics

1. Martin Finn-Sell
2. Rufus Willett
3. Ján Špakula
4. J. Tu
5. Guoliang Yu
6. E. Guentner

Citations in the corpus

• Non-Hausdorff groupoids, proper actions and $K$-theory (2004, background): “manifold with corners [17] are not Hausdorff. For Hausdorff groupoids, Baum, Connes and Higson [3, 29] define a topological K-theory group K∗top(G) and an assembly map µ: Ktop∗(G) →K∗(C∗ r(G)) (see also [25, 27]). When G is a group, the map µis known to be an isomorphism in many cases, such as almost c”
• Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture (2013, background): “Claim (1) relies on an argument involving groupoid equivariant KK-theory [3, 17, 27].”
• Maximal and reduced Roe algebras of coarsely embeddable spaces (2011, background): “Next, it is shown in [24] that property A of X corresponds to (topological) amenability of G (X) and in [25] that coarse embeddability of X into a Hilbert space corresponds to the Haagerup property for G (X).”