In his work on the Novikov conjecture, Yu introduced Property A as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property A for a discrete group is known to be equivalent to C*-exactness of the reduced C*-algebra, and to the amenability of the action of the group on its Stone-Cech compactification. In this paper we study exactness for groups acting on a finite dimensional CAT(0) cube complex. We apply our methods to show that Artin groups of type FC are exact. While many discrete groups are known to be exact the question of whether every Artin group is exact remains open
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, w...
ABSTRACT. In his work on the Novikov conjecture, Yu introduced Property A as a readily verified crit...
We recall the concepts of exactness for both C*-algebras and groups. We explore some new properties ...
We show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube complex...
We recall the concepts of exactness for both C*-algebras and groups. We explore some new properties ...
AbstractWe show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube...
We show that the Hilbert Space compression of any (unbounded) finite dimensional CAT(0) cube complex...
AbstractLet K be a fine hyperbolic graph and Γ be a group acting on K with finite quotient. We prove...
AbstractWe show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube...
In this thesis we investigate the relationship between coarse embeddability and K-exactness of count...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gro-mov, is a geometric property...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
AbstractProperty A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, w...
ABSTRACT. In his work on the Novikov conjecture, Yu introduced Property A as a readily verified crit...
We recall the concepts of exactness for both C*-algebras and groups. We explore some new properties ...
We show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube complex...
We recall the concepts of exactness for both C*-algebras and groups. We explore some new properties ...
AbstractWe show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube...
We show that the Hilbert Space compression of any (unbounded) finite dimensional CAT(0) cube complex...
AbstractLet K be a fine hyperbolic graph and Γ be a group acting on K with finite quotient. We prove...
AbstractWe show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube...
In this thesis we investigate the relationship between coarse embeddability and K-exactness of count...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gro-mov, is a geometric property...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
AbstractProperty A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
Abstract. Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclide...
In this short note, prepared for the volume of conjectures to celebrate Guido Mislin's retirement, w...