There Is No Separable Universal Ii1-factor

  • Published 2002

Abstract

Gromov constructed uncountably many pairwise non-isomorphic discrete groups with Kazhdan's property (T). We will show that no separable II 1-factor can contain all these groups in its unitary group. In particular, no separable II 1-factor can contain all separable II 1-factors in it. We also show that the full group C *-algebras of some of these groups fail… (More)

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