Relative double commutants in coronas of separable C*-algebras

التفاصيل البيبلوغرافية
العنوان: Relative double commutants in coronas of separable C*-algebras
المؤلفون: Kucerovsky, Dan, Mathieu, Martin
المصدر: Glasgow Math. J 64 2022 1--11
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, Mathematics - Functional Analysis, 46L05, 47L40
الوصف: We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu later proved a C*-algebraic double commutant theorem for subalgebras of the Calkin algebra. We prove a similar result for subalgebras of a much more general class of so-called corona C*-algebras.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1810.01413
رقم الأكسشن: edsarx.1810.01413
قاعدة البيانات: arXiv