Add to ORKG45 pagesWe study in this paper the maximal version of the coarse Baum-Connes assembly map for families of expanding graphs arising from residually finite groups. Unlike for the usual Roe algebra, we show that this assembly map is closely related to the (maximal) Baum-Connes assembly map for the group and is an isomorphism for a class of expanders. We also introduce a quantitative Baum-Connes assembly map and discuss its connections to K-theory of (maximal) Roe algebras
AbstractWe define a uniform version of analytic K-homology theory for separable, proper metric space...
AbstractTo every discrete metric space with bounded geometry X we associate a groupoid G(X) for whic...
In this paper, we define quantitative assembly maps for $L^p$ operator algebras when $p\in [1,\infty...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
International audienceWe study in this paper the maximal version of the coarse Baum-Connes assembly ...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
AbstractIn this paper, the first of a series of two, we continue the study of higher index theory fo...
AbstractIn this paper, the second of a series of two, we continue the study of higher index theory f...
We consider an $\ell^p$ coarse Baum-Connes assembly map for $1<p<\infty$, and show that it is not su...
Abstract. We present a new approach to studying expander sequences with large girth, providing new g...
In [7], Gong, Wang and Yu introduced a maximal, or universal, version of the Roe C*-algebra associat...
In their paper entitled "On quantitative operator K-theory", H. Oyono-Oyono and G. Yu introduced a r...
This dissertation can be said to consider Relative Strong Novikov Conjecture for a pair of countable...
This dissertation can be said to consider Relative Strong Novikov Conjecture for a pair of countable...
Inverse semigroups provide a natural way to encode combinatorial data from geometric settings. Examp...
AbstractWe define a uniform version of analytic K-homology theory for separable, proper metric space...
AbstractTo every discrete metric space with bounded geometry X we associate a groupoid G(X) for whic...
In this paper, we define quantitative assembly maps for $L^p$ operator algebras when $p\in [1,\infty...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
International audienceWe study in this paper the maximal version of the coarse Baum-Connes assembly ...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
AbstractIn this paper, the first of a series of two, we continue the study of higher index theory fo...
AbstractIn this paper, the second of a series of two, we continue the study of higher index theory f...
We consider an $\ell^p$ coarse Baum-Connes assembly map for $1<p<\infty$, and show that it is not su...
Abstract. We present a new approach to studying expander sequences with large girth, providing new g...
In [7], Gong, Wang and Yu introduced a maximal, or universal, version of the Roe C*-algebra associat...
In their paper entitled "On quantitative operator K-theory", H. Oyono-Oyono and G. Yu introduced a r...
This dissertation can be said to consider Relative Strong Novikov Conjecture for a pair of countable...
This dissertation can be said to consider Relative Strong Novikov Conjecture for a pair of countable...
Inverse semigroups provide a natural way to encode combinatorial data from geometric settings. Examp...
AbstractWe define a uniform version of analytic K-homology theory for separable, proper metric space...
AbstractTo every discrete metric space with bounded geometry X we associate a groupoid G(X) for whic...
In this paper, we define quantitative assembly maps for $L^p$ operator algebras when $p\in [1,\infty...