标题： 实C*-和AW*-代数的内射包络 显示英文标题

标题： Injective envelopes of real C*- and AW*-algebras

摘要： 表明每个实C*-代数的外*-自同构都可以唯一地扩展为实C*-代数的内射包。 证明了如果一个实C*-代数是单的，那么它的内射包也是单的，并且是一个实AW*-因子。 构造了一个实C*-代数的例子，该实C*-代数不是实AW*-代数，而其内射包是一个类型为III的实AW*-因子，但它不是一个实W*-代数。 这导致了一个有趣的结果，即在同构的意义下，类型为III的实（或复）内射AW*-因子的类比类型为III的实（或复）内射W*-因子的类至少大一个。 显示英文摘要

摘要： It is shown that every outer *-automorphism of a real C*-algebra can be uniquely extended to an injective envelope of real C*-algebra. It is proven that if a real C*-algebra is a simple, then its injective envelope is also simple, and it is a real AW*-factor. The example of a real C*-algebra that is not real AW*-algebra and the injective envelope is a real AW*-factor of type III, which is not a real W*-algebra is constructed. This leads to the interesting result that up to isomorphism, the class of injective real (resp. complex) AW*-factors of type III is at least one larger than the class injective real (resp. complex) W*-factors of type III.