کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665780 1633831 2014 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adiabatic groupoid, crossed product by R+⁎ and pseudodifferential calculus
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Adiabatic groupoid, crossed product by R+⁎ and pseudodifferential calculus
چکیده انگلیسی
Let G be a Lie groupoid. Recall that the associated adiabatic groupoid Gad is the groupoid obtained by the deformation to the normal cone construction corresponding to the inclusion G(0)→G. In the present paper, we consider the crossed product Gga of the natural action of R+⁎ on the adiabatic groupoid Gad 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 Gga. As an important intermediate step, we express a pseudodifferential operator on G as an integral associated with a smoothing operator on the adiabatic groupoid Gad of G.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 257, 1 June 2014, Pages 66-91
نویسندگان
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