C* 代数上紧群作用的Galois对应
A Galois correspondence for compact group actions on C*-algebras
摘要：
本文证明了C* 代数上的紧群作用在交换极小作用存在时的一个Galois对应.也就是说，我们证明了在紧作用和交换极小作用下全局不变的C*-子代数之间存在一一对应关系，其中还包含紧作用的不动点代数和紧群的闭正规子群.
英文摘要：
In this paper, we prove a Galois correspondence for compact group actions on C*-algebras in the presence of a commuting minimal action. Namely, we show that there is a one to one correspondence between the C*-subalgebras that are globally invariant under the compact action and the commuting minimal action, that in addition contain the fixed point algebra of the compact action and the closed, normal subgroups of the compact group.
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。
