2 citations · 3 across the 5 of their papers we have counts for
5 papers
Unbounded symmetric operators in -homology and the Baum-Connes Conjecture
Hela Bettaieb, Michel Matthey, Alain Valette
Using the unbounded picture of analytical K-homology, we associate a well-defined K-homology class to an unbounded symmetric operator satisfying certain mild technical conditions.…
Homotopy invariance of higher signatures and 3-manifold groups
Michel Matthey, Hervé Oyono-Oyono, Wolfgang Pitsch
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable 3-manifolds, inclu…
Model theoretic reformulation of the Baum-Connes and Farrell-Jones conjectures
Paul Balmer, Michel Matthey
The Isomorphism Conjectures are translated into the language of homotopical algebra, where they resemble Thomason's descent theorems.
Codescent theory II: Cofibrant approximations
Paul Balmer, Michel Matthey
We establish a general method to produce cofibrant approximations in the model category of -valued -indexed diagrams with -weak equivalences and -fibrations.…
Codescent theory I: Foundations
Paul Balmer, Michel Matthey
Consider a cofibrantly generated model category , a small category and a subcategory of . We endow the category of functors from to with a model structu…