108 citations · 197 across the 16 of their papers we have counts for
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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…
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…
C*-Algebraic Higher Signatures and an Invariance Theorem in Codimension Two
Nigel Higson, Thomas Schick, Zhizhang Xie
We revisit the construction of signature classes in C*-algebra K-theory, and develop a variation that allows us to prove equality of signature classes in some situations involving…
A Differential Complex for CAT(0) Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson
In the 1980's Pierre Julg and Alain Valette, and also Tadeusz Pytlik and Ryszard Szwarc, constructed and studied a certain Fredholm operator associated to a simplicial tree. The op…
A Geometric Description of Equivariant K-Homology for Proper Actions
Paul Baum, Nigel Higson, Thomas Schick
Let G be a discrete group and let X be a G-finite, proper G-CW-complex. We prove that Kasparov's equivariant K-homology groups KK^G(C_0(X),\C) are isomorphic to the geometric equiv…
Spaces with vanishing $l\sp 2$-homology and their fundamental groups (after Farber and Weinberger)
Nigel Higson, John Roe, Thomas Schick
The "zero in the spectrum conjecture" asserted (in its strongest form) that for any manifold M zero should be in the l2-spectrum of the Laplacian (on forms) of the universal coveri…