63 citations · 324 across the 37 of their papers we have counts for
15 papers · 1 filter
Spectral localizers in KK-theory
Jens Kaad
We study the index homomorphism of even K-groups arising from a class in even KK-theory via the Kasparov product. Due to the seminal work of Baaj and Julg, under mild conditions on…
A higher Kac-Moody extension for two-dimensional gauge groups
Jens Kaad, Ryszard Nest, Jesse Wolfson
Let be a finite dimensional Lie group and consider the smooth double loop group, i.e. the Fréchet Lie group of smooth maps from the 2-torus to . For a finite dimensional Hil…
On the Unbounded Picture of -Theory
Jens Kaad
In the founding paper on unbounded -theory it was established by Baaj and Julg that the bounded transform, which associates a class in -theory to any unbounded Kasparov mod…
Index theory on the Miščenko bundle
Jens Kaad, Valerio Proietti
We consider the assembly map for principal bundles with fiber a countable discrete group. We obtain an index-theoretic interpretation of this homomorphism by providing a tensor-pro…
Morita invariance of unbounded bivariant K-theory
Jens Kaad
We introduce a notion of Morita equivalence for non-selfadjoint operator algebras equipped with a completely isometric involution (operator *-algebras). We then show that the unbou…
Riemannian submersions and factorization of Dirac operators
Jens Kaad, Walter D. van Suijlekom
We establish the factorization of Dirac operators on Riemannian submersions of compact spin manifolds in unbounded KK-theory. More precisely, we show that the Dirac operator on…