38 citations · 91 across the 10 of their papers we have counts for
5 papers · 1 filter
Quantitative index, Novikov conjecture and coarse decomposability
Hervé Oyono-Oyono, Guoliang Yu
We define for families of finite metric spaces quantitative assembly map estimates that take into account propagation phenomena for pseudo-differential calculus. We relate these es…
Equivariant geometric K-homology for compact Lie group actions
Paul Baum, Herve Oyono-Oyono, Thomas Schick +1
Let G be a compact Lie-group, X a compact G-CW-complex. We define equivariant geometric K-homology groups K^G_*(X), using an obvious equivariant version of the (M,E,f)-picture of B…
Fibrations with noncommutative fibers
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono
We study an analogue of fibrations of topological spaces with the homotopy lifting property in the setting of C*-algebra bundles. We then derive an analogue of the Leray-Serre spec…
Principal noncommutative torus bundles
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono
In this paper we study continuous bundles of C*-algebras which are non-commutative analogues of principal torus bundles. We show that all such bundles, although in general being ve…
Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)
Moulay-Tahar Benameur, Herve Oyono-Oyono
In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and a naturality of the long…