Some Calkin algebras have outer automorphisms
نویسندگان
چکیده
We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, consistently, there are many outer automorphisms.
منابع مشابه
Automorphisms of Cornoa Algebras, and Group Cohomology
In 2007 Phillips and Weaver showed that, assuming the Continuum Hypothesis, there exists an outer automorphism of the Calkin algebra. (The Calkin algebra is the algebra of bounded operators on a separable complex Hilbert space, modulo the compact operators.) In this paper we establish that the analogous conclusion holds for a broad family of quotient algebras. Specifically, we will show that as...
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عنوان ژورنال:
- Arch. Math. Log.
دوره 52 شماره
صفحات -
تاریخ انتشار 2013