3 citations · 6 across the 7 of their papers we have counts for
7 papers
Generalized orientations and the Bloch invariant
Michel Matthey, Wolfgang Pitsch, Jerome Scherer
For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K_3(C) Applying the Borel and the Bloch regulators, one gets back…
Homological realization of prescribed abelian groups via -theory
A. J. Berrick, M. Matthey
Using algebraic and topological K-theory together with complex C^*-algebras, we prove that every abelian group may be realized as the centre of a strongly torsion generated group w…
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.…