Nigel Higson - Research Articles and Lecture Notes

Information about published papers is given in the list below, along with full-text copies of most articles (but beware that the copies available on this page may differ slightly from the published versions). The list below also contains one or two unpublished articles.

If you have access to MathSciNet, then you can read the MathSciNet listings for my papers there.


The tangent groupoid and the index theorem
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K-homology, assembly and rigidity theorems for relative eta-invariants
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The Mackey analogy and K-theory
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Weak amenability of CAT(0) cubical groups
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On the equivalence of geometric and analytic K-homology
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The Atiyah-Singer index theorem
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Operator algebras
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The Novikov conjecture for linear groups
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The residue index theorem of Connes and Moscovici
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Mapping surgery to analysis I: Analytic signatures
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Mapping surgery to analysis II: Geometric signatures
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Mapping surgery to analysis III: Exact sequences
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The local index formula in noncommutative geometry
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Meromorphic continuation of zeta functions associated to elliptic operators
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Group C*-algebras and K-theory
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Counterexamples to the Baum-Connes conjecture
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Spaces with vanishing l 2-homology and their fundamental groups
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E-theory and KK-theory for groups which act properly and isometrically on Hilbert space
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Representations of p-adic groups: a view from operator algebras
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Bivariant K-theory and the Novikov conjecture
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Amenable group actions and the Novikov conjecture
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Equivariant E-theory for C*-algebras
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The Baum-Connes conjecture
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A Bott periodicity theorem for infinite-dimensional Euclidean space
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Operator K-theory for groups which act properly and isometrically on Euclidean space
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A proof of the Baum-Connes conjecture for p-adic GL(n)
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C*-algebras and controlled topology
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Cyclic homology of totally disconnected groups acting on buildings
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On the coarse Baum-Connes conjecture
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A homotopy invariance theorem in coarse cohomology and K-theory
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A note on Toeplitz operators
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Classifying space for proper actions and K-theory of group C*-algebras
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Equivariant homology for SL(2) of a p-adic field
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On the K-theory proof of the index theorem
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A coarse Mayer-Vietoris principle
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The Weyl-von Neumann theorem for multipliers of some AF-algebras
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A note on the cobordism invariance of the index
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Deformations, morphismes asymtotiques et K-theorie bivariante
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Almost homomorphisms and KK-theory
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C*-algebra extension theory and duality
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K-homology and operators on non-compact manifolds
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A primer on KK-theory
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Categories of fractions and excision in KK-theory
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An approach to Z/k-index theory
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Algebraic K-theory for stable C*-algebras
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On a technical theorem of Kasparov
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Kuiper's theorem for Hilbert modules
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A characterization of KK-theory
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