2,477 research outputs found
Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)
We show that the group factors of ICC lattices in either SO(n,1) or SU(n,1),
n \geq 2, are strongly solid in the sense of Ozawa and Popa. This strengthens a
result of Ozawa and Popa showing that these factors do not have Cartan
subalgebras
A property (T) for C*-algebras
We define a notion of Property (T) for an arbitrary -algebra
admitting a tracial state. We extend this to a notion of Property (T) for the
pair where is a -subalgebra of Let be a
discrete group and its reduced algebra. We show that
has Property (T) if and only if the group has Property
(T) . More generally, given a subgroup of , the pair
has Property (T) if and only if the pair of
groups has Property (T).Comment: 14 page
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