کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589911 1334918 2015 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a non-commutative analogue of a classical result of Namioka and Phelps
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On a non-commutative analogue of a classical result of Namioka and Phelps
چکیده انگلیسی

A classical result of Namioka and Phelps states that the square is a test object to verify semi-simplexity in the tensor theory of convex compact sets. By using the quantization of generalized Namioka–Phelps test spaces we formulate a nuclearity criterion for C⁎C⁎-algebras, which establishes a non-commutative version of their result. The proof we suggest covers the nuclearity characterization via non-commutative polyhedron outlined by Effros [8]. Several matrix systems studied by Farenick and Paulsen [13] are shown to be test systems for nuclearity. We also prove that the standard Namioka–Phelps test space is C⁎C⁎-nuclear. We propose a partition of unity property for C⁎C⁎-algebras which distinguishes nuclear C⁎C⁎-algebras among the others.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 269, Issue 10, 15 November 2015, Pages 3282–3303
نویسندگان
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