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Relative Property (T) for Topological Groups
Department of Mathematics, China Jiliang University, Hangzhou, China
Department of Mathematics, Tuskegee University, Tuskegee, USA
- 1 Department of Mathematics, China Jiliang University, Hangzhou, China
- 2 Department of Mathematics, Tuskegee University, Tuskegee, USA
Applied Mathematics·Volume 05 (2014)·Pages 2988–2993·Published 4 November 2014·DOI10.4236/am.2014.519285
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Abstract
In this paper, we investigate Kazhdan’s relative Property (T) for pairs , where is a topological group and is any subset of . We show that the pair has Property (FH) and every function conditionally of negative type on is X-bounded if the pair has relative Property (T). We also prove that has Property (T) when is a s -compact locally compact group generated by its subgroups and the pair has relative Property (T) for all .
KeywordsRelative Property (T) of Topological GroupFunction Conditionally of Negative TypeProperty (FH)
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