A Unique Prime Decomposition Result for Wreath Product Factors

Published 15 Oct 2011 in math.OA | (1110.3389v2)

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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