Finiteness conjecture for LERF groups with Kazhdan property (T)
Let be a countable group with Kazhdan property (T). Finiteness conjecture. The group is LERF if and only if it is finite.
By the preceding proposition, for groups with property (T), LERF is equivalent to A-separability, so the conjecture asserts that this phenomenon cannot occur for an infinite group with property (T).
References
Primary source
Yair Glasner and Daniel Kitroser, “A note on LERF groups and generic group actions”, arXiv:1409.4737 (2014).
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