منابع مشابه
Existentially Closed Ii1 Factors
We examine the properties of existentially closed (R-embeddable) II1 factors. In particular, we use the fact that every automorphism of an existentially closed (R-embeddable) II1 factor is approximately inner to prove that Th(R) is not model-complete. We also show that Th(R) is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonis...
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متن کاملGenerators of II1 factors
In 2005, Shen introduced a new invariant, G(N), of a di use von Neumann algebra N with a xed faithful trace, and he used this invariant to give a uni ed approach to showing that large classes of II1 factors M are singly generated. This paper focuses on properties of this invariant. We relate G(M) to the number of self-adjoint generators of a II1 factor M : if G(M) < n/2, then M is generated by ...
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Gromov gave an uncountable family of countable discrete groups with Kazhdan’s property (T). In this note, we will show that there is no separable II1-factor whose unitary group contains all these groups of Gromov as its subgroups. In particular, there is no separable II1-factor which contains all separable II1-factors as its subfactors. Recall that a discrete group Γ is said to have Kazhdan’s p...
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ژورنال
عنوان ژورنال: Acta Endoscopica
سال: 1991
ISSN: 0240-642X,1958-5454
DOI: 10.1007/bf02970829