A Unique Prime Decomposition Result for Wreath Product Factors

Mathematics – Operator Algebras

Scientific paper

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8 pages

Scientific paper

We use malleable deformations combined with spectral gap rigidity theory, in
the framework of Popa's deformation/rigidity theory to prove unique tensor
product decomposition results for II$_1$ factors arising as tensor product of
wreath product factors. We also obtain a similar result regarding measure
equivalence decomposition of direct products of such groups.

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