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A note on crossed products
Expositiones Mathematicae ( IF 0.8 ) Pub Date : 2019-12-04 , DOI: 10.1016/j.exmath.2019.08.001
Wojciech Chojnacki

We give an exposition of two fundamental results of the theory of crossed products. One of these states that every regular representation of a reduced crossed product is faithful whenever the underlying Hilbert space representation of the C-algebra that together with an automorphism group gives rise to the crossed product is faithful. The other result states that a full and a reduced crossed products coincide whenever their common underlying automorphism group is amenable.



中文翻译:

关于交叉产品的说明

我们给出了交叉乘积理论的两个基本结果的说明。其中之一指出,每当缩减的乘积​​的基础希尔伯特空间表示形式为实时,它的每个正则表示形式都是忠实的C-与同构群一起产生相乘积的-代数是忠实的。另一个结果表明,只要它们共同的基本自同构群合适,交叉和完全交叉的乘积就会重合。

更新日期:2019-12-04
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