کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590566 | 1334968 | 2014 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
AF labeled graph Câ-algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is known that a graph Câ-algebra Câ(E) is approximately finite dimensional (AF) if and only if the graph E has no loops. In this paper we consider the question of when a labeled graph Câ-algebra Câ(E,L,B) is AF. A notion of loop in a labeled space (E,L,B) is defined when B is the smallest one among the accommodating sets that are closed under relative complements and it is proved that if a labeled graph Câ-algebra is AF, the labeled space has no loops. A sufficient condition for a labeled space to give rise to an AF algebra is also given. For graph Câ-algebras Câ(E), this sufficient condition is also a necessary one. Besides, we discuss other equivalent conditions for a graph Câ-algebra to be AF in the setting of labeled graphs and prove that these conditions are not always equivalent by invoking various examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 4, 15 February 2014, Pages 2153-2173
Journal: Journal of Functional Analysis - Volume 266, Issue 4, 15 February 2014, Pages 2153-2173
نویسندگان
Ja A Jeong, Eun Ji Kang, Sun Ho Kim,