A Unique Prime Decomposition Result for Wreath Product Factors
Operator Algebras
2016-01-20 v2
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 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.
Keywords
Cite
@article{arxiv.1110.3389,
title = {A Unique Prime Decomposition Result for Wreath Product Factors},
author = {James Owen Sizemore and Adam Winchester},
journal= {arXiv preprint arXiv:1110.3389},
year = {2016}
}
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8 pages