A class of II₁ factors with exactly two group measure space decompositions
classification
🧮 math.OA
keywords
decompositionsexactlygroupmeasurespaceconjugacyconstructfactors
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We construct the first II_1 factors having exactly two group measure space decompositions up to unitary conjugacy. Also, for every positive integer $n$, we construct a II_1 factor $M$ that has exactly $n$ group measure space decompositions up to conjugacy by an automorphism.
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