论文标题
逆上群，开放宽群和卡坦中间c*-subalgebras之间的对应关系
A correspondence between inverse subsemigroups, open wide subgroupoids and Cartan intermediate C*-subalgebras
论文作者
论文摘要
对于给定的逆向半群在拓扑空间中，可以将类别的类固醇关联。我们证明，如果动作非常紧密，则某些子群与开放的宽子集团之间存在对应关系。与Brown ET的最新结果相结合。 Al，我们获得了反向半群的某些子群和cartan c c*-Algebra的Cartan中间次骨。
For a given inverse semigroup action on a topological space, one can associate an étale groupoid. We prove that there exists a correspondence between the certain subsemigroups and the open wide subgroupoids in case that the action is strongly tight. Combining with the recent result of Brown et. al, we obtain a correspondence between the certain subsemigroups of an inverse semigroup and the Cartan intermediate subalgebras of a groupoid C*-algebra.
