AbstractWe 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
Expander graphs are an important tool in theoretical computer science, geometric group theory, proba...
Loday's assembly maps approximate the K-theory of group rings by the K-theory of the coefficient rin...
To a large class of graphs of groups we associate a C⁎-algebra universal for generators and relation...
International audienceWe study in this paper the maximal version of the coarse Baum-Connes assembly ...
45 pagesWe study in this paper the maximal version of the coarse Baum-Connes assembly map for famili...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
AbstractIn this paper, the second of a series of two, we continue the study of higher index theory f...
AbstractIn this paper, the first of a series of two, we continue the study of higher index theory fo...
Abstract. We present a new approach to studying expander sequences with large girth, providing new g...
We prove that uniform Roe C*-algebras C*uX associated to some expander graphs X coming from discrete...
In [7], Gong, Wang and Yu introduced a maximal, or universal, version of the Roe C*-algebra associat...
AbstractWe define a uniform version of analytic K-homology theory for separable, proper metric space...
AbstractControlled K-theory is used to show that algebraic K-theory of a group mapping to a virtuall...
In this article we prove that the KH-asembly map, as defined by Bartels and Lück, can be described ...
Abstract. We study Rørdam’s group, KL(A,B), and a corona factoriza-tion condition. Our key technical...
Expander graphs are an important tool in theoretical computer science, geometric group theory, proba...
Loday's assembly maps approximate the K-theory of group rings by the K-theory of the coefficient rin...
To a large class of graphs of groups we associate a C⁎-algebra universal for generators and relation...
International audienceWe study in this paper the maximal version of the coarse Baum-Connes assembly ...
45 pagesWe study in this paper the maximal version of the coarse Baum-Connes assembly map for famili...
AbstractWe study in this paper the maximal version of the coarse Baum–Connes assembly map for famili...
AbstractIn this paper, the second of a series of two, we continue the study of higher index theory f...
AbstractIn this paper, the first of a series of two, we continue the study of higher index theory fo...
Abstract. We present a new approach to studying expander sequences with large girth, providing new g...
We prove that uniform Roe C*-algebras C*uX associated to some expander graphs X coming from discrete...
In [7], Gong, Wang and Yu introduced a maximal, or universal, version of the Roe C*-algebra associat...
AbstractWe define a uniform version of analytic K-homology theory for separable, proper metric space...
AbstractControlled K-theory is used to show that algebraic K-theory of a group mapping to a virtuall...
In this article we prove that the KH-asembly map, as defined by Bartels and Lück, can be described ...
Abstract. We study Rørdam’s group, KL(A,B), and a corona factoriza-tion condition. Our key technical...
Expander graphs are an important tool in theoretical computer science, geometric group theory, proba...
Loday's assembly maps approximate the K-theory of group rings by the K-theory of the coefficient rin...
To a large class of graphs of groups we associate a C⁎-algebra universal for generators and relation...
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