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paper

Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)

arXiv:1009.2247 · doi:10.1016/j.jfa.2010.12.017

Abstract

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.