Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Higson, Nigel"'
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 construction takes place within an algebraic framework, rather than the cu
Externí odkaz:
http://arxiv.org/abs/2207.13411
This is the second of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to C*-algebraic Morita equivalence, and the verification of the Connes-Kasparov conjecture for these groups. These
Externí odkaz:
http://arxiv.org/abs/2202.02857
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 of the Connes-Kasparov conjecture for these groups. These results were
Externí odkaz:
http://arxiv.org/abs/2202.02855
Autor:
Bradd, Jacob, Higson, Nigel
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 topological K-theory.
Externí odkaz:
http://arxiv.org/abs/2010.09428
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
Autor:
Higson, Nigel, Roman, Angel
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 associated Cartan motion group. We shall construct an embedding of the C*-
Externí odkaz:
http://arxiv.org/abs/1908.11008
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-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the
Externí odkaz:
http://arxiv.org/abs/1908.10485
Autor:
Higson, Nigel, Subag, Eyal
Publikováno v:
Advances in Mathematics, Volume 408, Part B, October 2022, 108586
We study a new type of symmetry for the hydrogen atom involving algebraic families of groups parametrized by the energy value in the time-independent Schr\"odinger equation. We construct an algebraic family of Harish-Chandra modules from the solution
Externí odkaz:
http://arxiv.org/abs/1908.01905
Autor:
Higson, Nigel, Yi, Zelin
The purpose of this article is to study Ezra Getzler's approach to the Atiyah-Singer index theorem from the perspective of Alain Connes' tangent groupoid. We shall construct a "rescaled" spinor bundle on the tangent groupoid, define a convolution ope
Externí odkaz:
http://arxiv.org/abs/1902.08351
Autor:
Higson, Nigel, Subag, Eyal
Publikováno v:
In Advances in Mathematics 29 October 2022 408 Part B
Publikováno v:
Geom. Topol. 22 (2018) 3671-3699
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 homotopy equivalences of noncompact manifolds that are only defined ou
Externí odkaz:
http://arxiv.org/abs/1710.02090