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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 .

KEYWORDS

Relative Property T of Topological Group, Function Conditionally of Negative Type, Property FH

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.





Author: Jicheng Tao1, Wen Yan2

Source: http://www.scirp.org/



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