Non-Outer Conjugate $\mathbb{Z}_{p^2}$ --Actions on Free Product Factors

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dc.creatorDykema, Kenneth
dc.creatorViola, Maria Grazia
dc.date2004-11-24
dc.date2004-11-27
dc.date.accessioned2026-07-07T05:14:39Z
dc.date.available2026-07-07T05:14:39Z
dc.descriptionWe show that for any prime p and for any II$_1$ factor N there exist two $mathbb{Z}_{p^2}$-- actions on the free product factor $*_{1} ^{p}N$ that have the same outer invariant but are not outer conjugate. Therefore, in the case of free product factors, the outer invariant is not a complete invariant for outer conjugacy.
dc.description32 pages, corrected typos in title and abstract
dc.identifierhttps://arxiv.org/abs/math/0411535
dc.identifierhttp://arxiv.org/abs/math/0411535
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73355
dc.subjectOperator Algebras
dc.subject46L54, 46L40, 46L37
dc.titleNon-Outer Conjugate $\mathbb{Z}_{p^2}$ --Actions on Free Product Factors
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