Compactness of certain homogeneous spaces of locally compact groups

Kwan-Yuk Claire Sit

doi:10.1090/s0002-9939-1976-0425004-0

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Compactness of certain homogeneous spaces of locally compact groups

Kwan-Yuk Claire Sit

Year: 1976 Journal: Proceedings of the American Mathematical Society Vol: 55 (1)Pages: 170-174 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-1976-0425004-0

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Abstract

Let H H be the fixed points of a family of automorphisms of a locally compact group G G with G / H G/H finite invariant measure. It is proved in this paper that when the 1 1 -component of G G is open, G / H G/H is compact.

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Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

advanced mathematical theories

Physical Sciences → Mathematics → Mathematical Physics

Functional Equations Stability Results

Physical Sciences → Mathematics → Applied Mathematics

Compactness of certain homogeneous spaces of locally compact groups

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