63 citations · 324 across the 37 of their papers we have counts for
5 papers · 1 filter
Pimsner algebras and Gysin sequences from principal circle actions
Francesca Arici, Jens Kaad, Giovanni Landi
A self Morita equivalence over an algebra B, given by a B-bimodule E, is thought of as a line bundle over B. The corresponding Pimsner algebra O_E is then the total space algebra o…
Tate tame symbol and the joint torsion of commuting operators
Jens Kaad, Ryszard Nest
We investigate determinants of Koszul complexes of holomorphic functions of a commuting tuple of bounded operators acting on a Hilbert space. Our main result shows that the analyti…
Differentiable absorption of Hilbert C*-modules, connections, and lifts of unbounded operators
Jens Kaad
The Kasparov absorption (or stabilization) theorem states that any countably generated Hilbert C*-module is isomorphic to a direct summand in the standard module of square summable…
Canonical holomorphic sections of determinant line bundles
Jens Kaad, Ryszard Nest
We investigate the analytic properties of torsion isomorphisms (determinants) of mapping cone triangles of Fredholm complexes. Our main tool is a generalization to Fredholm complex…
Topological invariance of the homological index
Alan Carey, Jens Kaad
R. W. Carey and J. Pincus in [CaPi86] proposed and index theory for non-Fredholm bounded operators T on a separable Hilbert space H such that TT* - T*T is in the trace class. We sh…