63 citations · 324 across the 37 of their papers we have counts for
Showing 2011 · math.OAShow all
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math.OA2011★ 6 cited
On modular semifinite index theory
Jens Kaad
We propose a definition of a modular spectral triple which covers existing examples arising from KMS-states, Podles sphere and quantum SU(2). The definition also incorporates the n…
math.OA2011★ 62 cited
Spectral flow and the unbounded Kasparov product
Jens Kaad, Matthias Lesch
We present a fairly general construction of unbounded representatives for the interior Kasparov product. As a main tool we develop a theory of C^1-connections on operator * modules…
math.OA2011★ 63 cited
A local global principle for regular operators in Hilbert C*-modules
Jens Kaad, Matthias Lesch
Hilbert C*-modules are the analogues of Hilbert spaces where a C*-algebra plays the role of the scalar field. With the advent of Kasparov's celebrated KK-theory they became a stand…