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Malnormal subgroups of lattices and the Pukánszky invariant in group factors |
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| Authors: | Guyan Robertson Tim Steger |
| Affiliation: | a School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, England, UK b Istituto Di Matematica e Fisica, Università degli Studi di Sassari, Via Vienna 2, 07100 Sassari, Italy |
| Abstract: | Let G be a connected semisimple real algebraic group. Assume that G(R) has no compact factors and let Γ be a torsion-free uniform lattice subgroup of G(R). Then Γ contains a malnormal abelian subgroup A. This implies that the II1 factor VN(Γ) contains a masa A with Pukánszky invariant {∞}. |
| Keywords: | von Neumann algebra Semisimple group |
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