论文标题
关于有限类型和Hartman-Mycielski Construction组的注释
A note on the groups of finite type and the Hartman-Mycielski construction
论文作者
论文摘要
Ando，Matsuzawa，Thom和Törnquist通过构建了具有强大的操作员拓扑的一组统一运算符的示例，通过索林·帕帕（Sorin Popa）解决了一个问题，其左右均匀的结构重合，但并未嵌入到有限的有限的vonNeumann Algebra中。是否可以连接此类组。在这里，我们观察到，通过Hartman-Mycielski Construction从上述作者的示例中获得了连接的（实际上，同构与希尔伯特空间的同型）示例。
Ando, Matsuzawa, Thom, and Törnquist have resolved a problem by Sorin Popa by constructing an example of a Polish group of unitary operators with the strong operator topology, whose left and right uniform structures coincide, but which does not embed into the unitary group of a finite von Neumann algebra. The question remained whether such a group can be connected. Here we observe that a connected (in fact, homeomorphic to the Hilbert space) example is obtained from the example of the above authors via the Hartman--Mycielski construction.
