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arXiv · 1110.3389

A Unique Prime Decomposition Result for Wreath Product Factors

James Owen Sizemore·Adam Winchester
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Abstract

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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James Owen Sizemore, Adam Winchester. 2011-10-15. A Unique Prime Decomposition Result for Wreath Product Factors. https://doi.org/10.2140/pjm.2013.265.221

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