Tim Steger

  1. Malnormal subgroups of lattices and the Pukanszky invariant in group factors.

    Authors: Guyan Robertson, Tim Steger
    Subjects: Operator Algebras
    Abstract

    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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