29 citations · 30 across the 5 of their papers we have counts for
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The generators of the K-groups of the sphere
Hermann Schulz-Baldes, Tom Stoiber
This note presents an elementary iterative construction of the generators for the complex -groups $K_i(C(\SM^d))$ of the -dimensional spheres. These generators are explicitly…
Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems
Hermann Schulz-Baldes, Tom Stoiber
This monograph develops the theory of Besov spaces for abelian group actions on semifinite von Neumann algebras and then proves Peller criteria for traceclass properties of associa…
Spectral localization for semimetals and Callias operators
Hermann Schulz-Baldes, Tom Stoiber
A semiclassical argument is used to show that the low-lying spectrum of a selfadjoint operator, the so-called spectral localizer, determines the number of Dirac or Weyl points of a…
Callias-type operators associated to spectral triples
Hermann Schulz-Baldes, Tom Stoiber
Callias-type (or Dirac-Schrödinger) operators associated to abstract semifinite spectral triples are introduced and their indices are computed in terms of an associated index pairi…
The spectral localizer for semifinite spectral triples
Hermann Schulz-Baldes, Tom Stoiber
The notion of spectral localizer is extended to pairings with semifinite spectral triples. By a spectral flow argument, any semifinite index pairing is shown to be equal to the sig…