108 citations · 197 across the 16 of their papers we have counts for
24 papers
A Universal Chern Model on Arbitrary Triangulations
Nigel Higson, Emil Prodan
Given a triangulation of a closed orientable surface, we place single-mode resonators or single-orbital artificial atoms at its vertices, edges and facets, and we devise near-neigh…
On Perrot's index cocycles
Jonathan Block, Nigel Higson, Jesus Sanchez
We shall present a simplified version of a construction due to Denis Perrot that recovers the Todd class of the complexified tangent bundle from a JLO-type cyclic cocycle. The cons…
On the Connes-Kasparov isomorphism, I: The reduced C*-algebra of a real reductive group and the K-theory of the tempered dual
Pierre Clare, Nigel Higson, Yanli Song +1
This is the first of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and the verification o…
Novodvorskii's theorem and the Oka principle
Jacob Bradd, Nigel Higson
We give an exposition of Novodvorskii's theorem in Banach algebra K-theory, asserting that the Gelfand transform for a commutative Banach algebra induces an isomorphism in topologi…
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
Nigel Higson, Angel Roman
The purpose of this paper is to make a further contribution to the Mackey bijection for a complex reductive group G, between the tempered dual of G and the unitary dual of the asso…
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…