38 citations · 91 across the 10 of their papers we have counts for
11 papers
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…
Groupoids decomposition, propagation and K-theory
Hervé Oyono-Oyono
In this paper, we streamline the technique of groupoids coarse decomposition for purpose of K-theory computations of groupoids crossed products. This technique was first introduced…
Quantitative K-theory and the K{ü}nneth formula for operator algebras
Hervé Oyono-Oyono, Guoliang Yu
In this paper, we apply quantitative operator K-theory to develop an algorithm for computing K-theory for the class of filtered C *-algebras with asymptotic finite nuclear decompos…
Persistence approximation property and controlled operator K-theory
Hervé Oyono-Oyono, Guoliang Yu
In this paper, we introduce and study the persistent approximation property for quantitative K-theory of filtered C*-algebras. In the case of crossed product C*-algebras, the persi…
On a quantitative operator K-theory
Hervé Oyono-Oyono, Guoliang Yu
In this paper, we develop a quantitative K-theory for filtered C*-algebras. Particularly interesting examples of filtered C*-algebras include group C*-algebras, crossed product C*-…
C*-algebras of Penrose's hyperbolic tilings
Hervé Oyono-Oyono, Samuel Petite
Penrose hyperbolic tilings are tilings of the hyperbolic plane which admit, up to affine transformations a finite number of prototiles. In this paper, we give a complete descriptio…