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Speaker: |
Claire Debord, U. Blaise Pascal, Clermont-Ferrand
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Title: |
Groupoids and pseudodifferential calculus I
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Abstract: |
The aim is to understand the pseudodifferential calculus on a smooth
groupoid as a convolution on a bigger groupoid. We will express order
zero pseudodifferential operators on \(G\) as integrals of kernels
associated with the adiabatic deformation \(G_{ad}\) of \(G\). We will
then use this fact in order to construct an explicit Morita
equivalence between the \(C^*\)-algebra of order \(0\) pseudodifferential
operators on \(G\) and (an ideal of) the \(C^*\)-algebra of the groupoid
\(G_{ga}\) obtained as the crossed product of \(G_{ad}\) by the natural
\(\mathbb{R}_+^*\) action it carries.
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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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