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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
5
votes
Is Deligne's central extension sofic?
If I understand your question correctly then I think you've already answered it! The 'above property' is precisely 'not being residually finite'. To see this, just consider the intersection of all fi …
9
votes
Kazhdan's property (T) vs. residual finiteness
Perhaps it's worth mentioning that Property (T) seems to repel certain strengthenings of residual finiteness. An open question of Long and Reid asks:
Is there an infinite finitely generated group …