کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4668755 | 1346071 | 2015 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions
ترجمه فارسی عنوان
ضمیمههای پراکنده و تغییر شکل آدیاباتیک از فعالیتهای گروهبندی صاف
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
The adiabatic groupoid Gad of a smooth groupoid G is a deformation relating G with its algebroid. In a previous work, we constructed a natural action of R on the C*-algebra of zero order pseudodifferential operators on G and identified the crossed product with a natural ideal J(G) of Câ(Gad). In the present paper we show that Câ(Gad) itself is a pseudodifferential extension of this crossed product in a sense introduced by Saad Baaj. Let us point out that we prove our results in a slightly more general situation: the smooth groupoid G is assumed to act on a C*-algebra A. We construct in this generalized setting the extension of order 0 pseudodifferential operators Ψ(A,G) of the associated crossed product AâG. We show that R acts naturally on Ψ(A,G) and identify the crossed product of A by the action of the adiabatic groupoid Gad with an extension of the crossed product Ψ(A,G)âR. Note that our construction of Ψ(A,G) unifies the ones of Connes (case A=C) and of Baaj (G is a Lie group).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Bulletin des Sciences Mathématiques - Volume 139, Issue 7, October 2015, Pages 750-776
Journal: Bulletin des Sciences Mathématiques - Volume 139, Issue 7, October 2015, Pages 750-776
نویسندگان
Claire Debord, Georges Skandalis,