کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591020 | 1335001 | 2011 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finitely correlated representations of product systems of C⁎-correspondences over Nk
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study isometric representations of product systems of correspondences over the semigroup Nk which are minimal dilations of finite-dimensional, fully coisometric representations. We show the existence of a unique minimal cyclic coinvariant subspace for all such representations. The compression of the representation to this subspace is shown to be a complete unitary invariant. For a certain class of graph algebras the nonself-adjoint wot-closed algebra generated by these representations is shown to contain the projection onto the minimal cyclic coinvariant subspace. This class includes free semigroup algebras. This result extends to a class of higher-rank graph algebras which includes higher-rank graphs with a single vertex.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 260, Issue 2, 15 January 2011, Pages 574-611
Journal: Journal of Functional Analysis - Volume 260, Issue 2, 15 January 2011, Pages 574-611