MR3257881 Reviewed Hadwin, Don Approximate double commutants in von Neumann algebras and C∗-algebras. Oper. Matrices 8 (2014), no. 3, 623–633. (Reviewer: Francesco Tschinke) 46L10 (46L05

Risultato della ricerca: Other contribution

Abstract

In this paper, the author proves an asymptotic version of the double commutant theorem, in a particular set-up of commutative C∗-algebras. More precisely, he considers the relative approximate double commutant of a C∗-algebra with unit, and, using atheorem of characterization for a commutative C∗-subalgebra with unit (inspired by awell-known result due to Kadison for a von Neumann sub-algebra of type I), and from atheorem based on a Machado result, he proves that if A is a commutative C∗-subalgebra of a C∗-algebra B centrally prime with unit, then A is equal to its relative approximatedouble commutant. In the case where B is a von Neumann algebra, a distance formula is found.
Lingua originaleEnglish
Numero di pagine1
Stato di pubblicazionePublished - 2015

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