Reality properties of conjugacy classes in algebraic groups |
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Authors: | Anupam Singh Maneesh Thakur |
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Affiliation: | (1) Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056, USA |
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Abstract: | Let be a (not necessarily semi-finite) σ-finite von Neumann algebra. We prove that there exists a finite von Neumann algebra so that for every 1 < p < 2, the Haagerup L p -space associated with embeds isomorphically into . We also provide a proof of the following non-commutative generalization of a classical result of Rosenthal: if is a semi-finite von Neumann algebra then every reflexive subspace of embeds isomorphically into L r ( ) for some r > 1. Dedicated to Professor H. P. Rosenthal on the occasion of his sixty-fifth birthday Research partially supported by NSF grant DMS-0456781. |
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