25 citations · 152 across the 42 of their papers we have counts for
49 papers
Boundary determination from local boundary data for a fractional Calderón problem
Heiko Gimperlein, Magnus Goffeng
We introduce a new Calderón-type problem for fractional powers of Schrödinger operators, with local boundary conditions. The associated Dirichlet-to-Neumann operator maps Dirichlet…
Five shades of KMS: Statistical properties in the spectral geometry of Cuntz--Krieger algebras
Dimitris Michail Gerontogiannis, Magnus Goffeng
We study spectral invariants arising in the noncommutative geometry of topological Markov chains and Cuntz--Krieger algebras. Their noncommutative geometry is described by spectral…
Bordisms and unbounded -theory
Robin J. Deeley, Magnus Goffeng, Bram Mesland
This monograph studies -theory in its unbounded model. The central object is the -bordism group obtained by imposing the -bordism relation on unbounded -cycles. In…
Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture
Heiko Gimperlein, Magnus Goffeng
We prove a sharp, quantitative analogue of Helgason's conjecture at the level of distributions: For a semisimple Lie group of real rank one, Poisson transforms map a Sobolev sp…
Theta correspondence via group C*-algebras
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
We prove that the well-known explicit construction of the local theta correspondence by Li has a simple interpretation in terms of group C*-algebras. In particular, we deduce that…
Adelic C*-correspondences and parabolic induction
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-mo…