M. Matthey

most citedCodescent theory II: Cofibrant approximations

2 citations · 3 across the 5 of their papers we have counts for

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math.KT2004

Unbounded symmetric operators in $K$ -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.…

math.KT2003

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.

math.KT2003★ 2 cited

Codescent theory II: Cofibrant approximations

Paul Balmer, Michel Matthey

We establish a general method to produce cofibrant approximations in the model category $U_{S} (C, D)$ of $S$ -valued $C$ -indexed diagrams with $D$ -weak equivalences and $D$ -fibrations.…

math.KT2003★ 1 cited

Codescent theory I: Foundations

Paul Balmer, Michel Matthey

Consider a cofibrantly generated model category $S$ , a small category $C$ and a subcategory $D$ of $C$ . We endow the category $S^{C}$ of functors from $C$ to $S$ with a model structu…

Unbounded symmetric operators in K-homology and the Baum-Connes Conjecture

Model theoretic reformulation of the Baum-Connes and Farrell-Jones conjectures

Codescent theory II: Cofibrant approximations

Codescent theory I: Foundations

Unbounded symmetric operators in $K$ -homology and the Baum-Connes Conjecture