C ~*-动力系统的紧包含
Tight inclusions of C*-dynamical systems
摘要：
我们研究了C*-和W*-动力系统的紧包含的概念，这是为了捕捉拓扑和边界作用的可测刚性之间的紧张关系。一个重要的情况下，这样的夹杂物是$C(X)\subset L^\infty(X, ν)$的可测边界与独特的固定紧凑的模型。我们讨论了这种现象的影响，在描述Zimmer顺从的中间因素。此外，我们还证明了它在vonNeumann代数的极大内射性问题中的应用。
英文摘要：
We study a notion of tight inclusions of C*- and W*-dynamical systems which is meant to capture a tension between topological and measurable rigidity of boundary actions. An important case of such inclusions are $C(X)\subset L^\infty(X, ν)$ for measurable boundaries with unique stationary compact models. We discuss the implications of this phenomenon in the description of Zimmer amenable intermediate factors. Furthermore, we prove applications in the problem of maximal injectivity of von Neumann algebras.
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