Mackey Borel结构的二分法
A dichotomy for the Mackey Borel structure
摘要：
证明了可分C* 代数的纯态等价是光滑的，或者它连续约化了$[0,1]^{\bbN}/\ell_2$，因而不能用可数结构来分类.后者由Kerr-Li-Pichot用不同的方法独立证明。我们也给出了一些意见，1967年的问题Dixongly。
英文摘要：
We prove that the equivalence of pure states of a separable C*-algebra is either smooth or it continuously reduces $[0,1]^{\bbN}/\ell_2$ and it therefore cannot be classified by countable structures. The latter was independently proved by Kerr--Li--Pichot by using different methods. We also give some remarks on a 1967 problem of Dixmier.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
