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| Speaker: |
Jens Kaad (SISSA, Trieste)
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| Title: |
Differentiable absorption of Hilbert \(C^*\)-modules
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| Abstract: |
The Kasparov absorption (or stabilization) theorem states that any
countably generated Hilbert \(C^*\)-module is isomorphic to a direct
summand in
a standard module. In this talk, I will generalize this result by
incorporating a densely defined derivation on the base \(C^*\)-algebra.
The extra compatibility assumptions needed are minimal: It will only be
required that there exists a sequence of generators with inner products in
the domain of the derivation. As an application, I will show how to
construct densely defined connections (or correspondences) on Hilbert
\(C^*\)-modules. These connections can in turn be used to define
selfadjoint and regular "lifts" of unbounded operators which act on an auxiliary
Hilbert \(C^*\)-module.
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|
 |
 |
G |
ruppo di |
R |
icerca |
E |
uropeo |
F |
ranco- |
I |
taliano in |
GE |
ometria |
N |
on |
CO |
mmutativa |
| roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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