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Relative Property (T) for Topological Groups

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DOI: 10.4236/am.2014.519285    2,551 Downloads   3,000 Views  
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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) whenis a s -compact locally compact group generated by its subgroups and the pair has relative Property (T) for all .

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Tao, J. and Yan, W. (2014) Relative Property (T) for Topological Groups. Applied Mathematics, 5, 2988-2993. doi: 10.4236/am.2014.519285.

References

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