کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9495539 1335142 2005 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the universal property of Pimsner-Toeplitz C*-algebras and their continuous analogues
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the universal property of Pimsner-Toeplitz C*-algebras and their continuous analogues
چکیده انگلیسی
We consider C*-algebras generated by a single C*-correspondence (Pimsner-Toeplitz algebras) and by a product systems of C*-correspondences. We give a new proof of a theorem of Pimsner, which states that any representation of the generating C*-correspondence gives rise to a representation of the Pimsner-Toeplitz algebra. Our proof does not make use of the conditional expectation onto the subalgebra fixed under the dual action of the circle group. We then prove the analogous statement for the case of product systems, generalizing a theorem of Arveson from the case of product systems of Hilbert spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 219, Issue 1, 1 February 2005, Pages 21-33
نویسندگان
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