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- W2950740010 abstract "We consider the crossed product $G_{ga}$ by $R_+^*$ of the adiabatic groupoid associated with any Lie groupoid $G$. We construct an explicit Morita equivalence between the exact sequence of order 0 pseudodifferential operators on $G$ and (a restriction of) the natural exact sequence associated with $G_{ga}$. As an important intermediate step, we express a pseudodifferential operator on $G$ as an integral associated to a smoothing operator on the adiabatic groupoid $G_{ad}$ of $G$." @default.
- W2950740010 created "2019-06-27" @default.
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- W2950740010 date "2013-07-23" @default.
- W2950740010 modified "2023-09-25" @default.
- W2950740010 title "Adiabatic groupoid, crossed product by $R_+^*$ and Pseudodifferential calculus" @default.
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