32 citations · 72 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…