局部紧压缩局部群
Locally Compact Contractive Local Groups
摘要：
研究了局部紧压缩局部群，即具有压缩伪自同构的局部紧局部群。我们证明了，如果这样的对象是局部连通的，那么它是局部同构的李群。我们还证明了一个相关的结构定理，局部紧压缩局部群不一定是局部连通的。这些结果是局部紧压缩群定理的局部类似。
英文摘要：
We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.
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