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On Relative Property (T) and Haagerup's ...
Chifan, Ionut...
On Relative Property (T) and Haagerup's Property by Chifan, Ionut ( Author )
N.A
29-06-2009
We consider the following three properties for countable discrete groups Γ: (1) Γ has an infinite subgroup with relative property (T), (2) the group von Neumann algebra LΓ has a diffuse von Neumann subalgebra with relative property (T) and (3) Γ does not have Haagerup's property. It is clear that (1) ⟹ (2) ⟹ (3). We prove that both of the converses are false.
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https://arxiv.org/abs/0906.5363
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