کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10224152 | 1701079 | 2018 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Representations of higher-rank graph Câ-algebras associated to Î-semibranching function systems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we discuss a method of constructing separable representations of the Câ-algebras associated to strongly connected row-finite k-graphs Î. We begin by giving an alternative characterization of the Î-semibranching function systems introduced in an earlier paper, with an eye towards constructing such representations that are faithful. Our new characterization allows us to more easily check that examples satisfy certain necessary and sufficient conditions. We present a variety of new examples relying on this characterization. We then use some of these methods and a direct limit procedure to identify a faithful separable representation for any row-finite source-free k-graph.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 468, Issue 2, 15 December 2018, Pages 766-798
Journal: Journal of Mathematical Analysis and Applications - Volume 468, Issue 2, 15 December 2018, Pages 766-798
نویسندگان
Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer,