Malnormal subgroups of lattices and the Pukanszky invariant in group factors

Details Malnormal subgroups of lattices and the Pukanszky invariant in group factors Malnormal subgroups of lattices and the Pukanszky invariant in group factors

2009-08-29

arxiv.org/abs/0908.4342v1

Mathematics

Operator Algebras

Scientific paper

Let $G$ be a connected semisimple real algebraic group. Assume that $G(\bb
R)$ has no compact factors and let $\Gamma$ be a torsion-free uniform lattice
subgroup of $G(\bb R)$. Then $\Gamma$ contains a malnormal abelian subgroup
$A$. This implies that the $\tto$ factor $\vn(\Gamma)$ contains a masa $\fk A$
with Puk\'anszky invariant $\{\infty\}$.

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