108 citations · 197 across the 16 of their papers we have counts for
4 papers · 1 filter
On a spectral theorem of Weyl
Nigel Higson, Qijun Tan
We give a geometric proof of a theorem of Weyl on the continuous part of the spectrum of Sturm-Liouville operators on the half-line with asymptotically constant coefficients. Earli…
Adjoint functors between categories of Hilbert C*-modules
Pierre Clare, Tyrone Crisp, Nigel Higson
Let E be a (right) Hilbert C*-module over a C*-algebra A. If E is equipped with a left action of a second C*-algebra B, then tensor product with E gives rise to a functor from the…
Weyl character formula in KK-theory
Jonathan Block, Nigel Higson
The purpose of this paper is to begin an exploration of connections between the Baum-Connes conjecture in operator $\K$-theory and the geometric representation theory of reductive…
Weak amenability of CAT(0) cubical groups
Nigel Higson, Erik Guentner
We prove that if G is a discrete group that admits a metrically proper action on a finite-dimensional CAT(0) cube complex X, then G is weakly amenable. We do this by constructing u…