کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598053 1336249 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces
چکیده انگلیسی
For discrete Hecke pairs (G,H), we introduce a notion of covariant representation which reduces in the case where H is normal to the usual definition of covariance for the action of G/H on c0(G/H) by right translation; in many cases where G is a semidirect product, it can also be expressed in terms of covariance for a semigroup action. We use this covariance to characterise the representations of c0(G/H) which are multiples of the multiplication representation on ℓ2(G/H), and more generally, we prove an imprimitivity theorem for regular representations of certain crossed products by coactions of homogeneous spaces. We thus obtain new criteria for extending unitary representations from H to G.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 10, October 2008, Pages 2344-2357
نویسندگان
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