On the Theories of Mcduff’s Ii1 Factors
نویسنده
چکیده
Recently, Boutonnet, Chifan, and Ioana proved that McDuff’s family of continuum many pairwise nonisomorphic separable II1 factors are in fact pairwise non-elementarily equivalent by proving that any ultrapowers of two distinct members of the family are nonsiomorphic. We use Ehrenfeucht-Fraisse games to provide an upper bound on the quantifier-depth of sentences which distinguish these theories.
منابع مشابه
Explicit Sentences Distinguishing Mcduff’s Ii1 Factors
Recently, Boutonnet, Chifan, and Ioana proved that McDuff’s examples of continuum many pairwise non-isomorphic separable II1 factors are in fact pairwise non-elementarily equivalent. Their proof proceeded by showing that any ultrapowers of any two distinct McDuff examples are not isomorphic. In a paper by the first two authors of this paper, Ehrenfeucht-Fraïsse games were used to find an upper ...
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