On property of injectivity for real W*-algebras and JW-algebras

Аннотация

In this paper injective real W*-algebras are investigated. It is shown that injectivity is equivalent to the property of E (extension property). It is proven that a real W*-algebra is injective iff its hermitian part is injective, and it is equivalent to, that the enveloping W*-algebra is also injective. Moreover, it is shown that if the second dual space of a real C*-algebra is injective, then the real C*-algebra is nuclear.

Темы

Идентификаторы

DOI

10.1007/s11117-018-0579-0

Цитирования и источники