کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590911 | 1334994 | 2013 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weak exactness for C⁎-algebras and application to condition (AO)
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Weak exactness for C⁎-algebras and application to condition (AO) Weak exactness for C⁎-algebras and application to condition (AO)](/preview/png/4590911.png)
چکیده انگلیسی
Kirchberg introduced weak exactness for von Neumann algebras as an analogue of exactness for C⁎-algebras. Ozawa found useful characterizations of weak exactness and he proved that weak exactness for group von Neumann algebras is equivalent to exactness of the groups. We generalize this concept to inclusions of C⁎-algebras in von Neumann algebras and study some fundamental properties and relationship to Kirchbergʼs weak exactness. We then give some permanence properties which are similar to those of exact groups. In the last section, we study a similar condition to Ozawaʼs condition (AO) with our weak exactness and generalize Ozawaʼs theorem for bi-exact groups. As a corollary, we give new examples of prime factors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 264, Issue 4, 15 February 2013, Pages 964-998
Journal: Journal of Functional Analysis - Volume 264, Issue 4, 15 February 2013, Pages 964-998