论文标题
$ c^*$ - 流的球形表示
Spherical representations of $C^*$-flows I
论文作者
论文摘要
我们为$ c^*$ - 流动的一种代表理论提出了一个抽象框架，即配备了单参数自动构成群体的代数$ C^*$ - 代数，作为Olshanski对无限量表的单一代表理论的正式形式的适当概括，例如Infinite-dimentional of Infinite dimemential of Infinite dimemential dimentimential unfty nittary $ $ $ $ $ \ \ \ \ \ \ \ \ f u \ f。尤其是目前的框架，阐明了某些统一表示理论的无限二维群体与操作员代数中的现有作品之间的一些重叠和/或相似性，并捕获了由链接引起的任意投影链。
We propose an abstract framework of a kind of representation theory for $C^*$-flows, i.e., $C^*$-algebras equipped with one-parameter automorphism groups, as a proper generalization of Olshanski's formalism of unitary representation theory for infinite-dimensional groups such as the infinite-dimensional unitary group $\mathrm{U}(\infty)$. The present framework, in particular, clarifies some overlaps and/or similarities between a certain unitary representation theory of infinite-dimensional groups and existing works in operator algebras, and captures arbitrary projective chains arising from links.
