23 citations · 91 across the 27 of their papers we have counts for
8 papers · 1 filter
On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson +1
We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dime…
A Differential Complex for CAT(0) Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson
In the 1980's Pierre Julg and Alain Valette, and also Tadeusz Pytlik and Ryszard Szwarc, constructed and studied a certain Fredholm operator associated to a simplicial tree. The op…
The periodic cyclic homology of crossed products of finite type algebras
Jacek Brodzki, Shantanu Dave, Victor Nistor
We study the periodic cyclic homology groups of the cross-product of a finite type algebra by a discrete group . In case is commutative and is finite, our results ar…
Entire cyclic homology of Schatten ideals
J. Brodzki, R. J. Plymen
Certain cocycles constructed by Connes are characters of -summable Fredholm modules. In this article, we establish some consequences of the universal properties which these char…
A geometric counterpart of the Baum-Connes map for GL(n)
Jacek Brodzki, Roger Plymen
We describe a geometric counterpart of the Baum-Connes map for the p-adic group GL(n).
Geometry of the smooth dual of GL(n)
Jacek Brodzki, Roger Plymen
Let A(n) be the smooth dual of the p-adic group G=GL(n). We create on A(n) the structure of a complex algebraic variety. There is a morphism of A(n) onto the Bernstein variety Omeg…