47 citations · 303 across the 41 of their papers we have counts for
8 papers · 1 filter
The orbit method for the Baum-Connes Conjecture for algebraic groups over local function fields
Siegfried Echterhoff, Kang Li, Ryszard Nest
The main purpose of this paper is to modify the orbit method for the Baum-Connes conjecture as developed by Chabert, Echterhoff and Nest in their proof of the Connes-Kasparov conje…
Bivariant -Theory and the Baum-Connes conjecure
Siegfried Echterhoff
This is a survey on Kasparov's bivariant -theory in connection with the Baum-Connes conjecture on the -theory of crossed products by actions of a locally compa…
Structure and K-theory of crossed products by proper actions
Heath Emerson, Siegfried Echterhoff
We study the C*-algebra crossed product of a locally compact group acting properly on a locally compact Hausdorff space . Under some mild extra conditions,…
Equivariant K-theory of finite dimensional real vector spaces
Siegfried Echterhoff, Oliver Pfante
We give a general formula for the equivariant complex -theory of a finite dimensional real linear space equipped with a linear action of a compact group in te…
Fibrations with noncommutative fibers
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono
We study an analogue of fibrations of topological spaces with the homotopy lifting property in the setting of C*-algebra bundles. We then derive an analogue of the Leray-Serre spec…
Principal noncommutative torus bundles
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono
In this paper we study continuous bundles of C*-algebras which are non-commutative analogues of principal torus bundles. We show that all such bundles, although in general being ve…
A Lefschetz fixed-point formula for certain orbifold C*-algebras
Siegfried Echterhoff, Heath Emerson, Hyun Jeong Kim
Using Poincaré duality in K-theory, we state and prove a Lefschetz fixed point formula for endomorphisms of cross product C*-algebras $C_0(X)\cross G$ coming from covariant pairs.…
Inheritance of Isomorphism Conjectures under colimits
Arthur Bartels, Siegfried Echterhoff, Wolfgang Lueck
We investigate when Isomorphism Conjectures, such as the ones due to Baum-Connes, Bost and Farrell-Jones, are stable under colimits of groups over directed sets (with not necessari…