32 citations · 44 across the 4 of their papers we have counts for
10 papers
Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose
Alexander Gorokhovsky, Erik van Erp
In this paper we present a formula for the index of a pseudodifferential operator with invertible principal symbol in the extended Heisenberg calculus of Epstein and Melrose. Our r…
On the tangent groupoid of a filtered manifold
Erik van Erp, Robert Yuncken
We give an intrinsic (coordinate-free) construction of the tangent groupoid of a filtered manifold.
K-homology and Fredholm Operators II: Elliptic Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for elliptic operators. Specifcally, we compute the geometric K-cycle that corresponds to the ana…
A groupoid approach to pseudodifferential operators
Erik Van Erp, Robert Yuncken
We give an algebraic/geometric characterization of the classical pseudodifferential operators on a smooth manifold in terms of the tangent groupoid and its natural $\mathbb{R}^\tim…
Groupoid Crossed Products of Continuous-Trace C*-Algebras
Erik van Erp, Dana P. Williams
We show that if is a groupoid dynamical system with continuous trace, then the crossed product is Morita equivalent to the C*-algebra $C*(\underline G,\…
T-Duality for Langlands Dual Groups
Calder Daenzer, Erik Van Erp
This article addresses the question of whether Langlands duality for complex reductive Lie groups may be implemented by T-dualization. We prove that for reductive groups whose simp…