Uniformly distributed sequences in locally compact groups. II
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- by Leonora Benzinger PDF
- Trans. Amer. Math. Soc. 188 (1974), 167-178 Request permission
Abstract:
We consider the following question. When is there a compactification ${G_0}$ of a locally compact group G (recall that a compact group ${G_0}$ is a compactification of G if there is a continuous homomorphism $\phi :G \to {G_0}$ so that $\phi (G)$ is dense in G) with continuous homomorphism $\phi :G \to {G_0}$ with the property that $\{ {g_\nu }\}$ is uniformly distributed in G if and only if $\{ \phi ({g_\nu })\}$ is uniformly distributed in ${G_0}$? Such a compactification ${G_0}$ is called a D-compactification of G. We obtain a solution to this problem and thereby generalize to locally compact groups some results of Berg, Rajagopalan, and Rubel concerning D-compactifications of locally compact abelian groups.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 188 (1974), 167-178
- MSC: Primary 22D05; Secondary 10K99
- DOI: https://doi.org/10.1090/S0002-9947-74-99944-9