Cyclomorphy

dc.creatorVoiculescu, Dan
dc.date2001-05-11
dc.date.accessioned2026-07-07T04:41:40Z
dc.date.available2026-07-07T04:41:40Z
dc.descriptionA main result is that, roughly, a dense set of the infinitesimal trace-preserving deformations of a semicircular system $s_1,..., s_n$ arise from one-parameter groups of automorphisms of the free-group factor $L(F(n))$ generated by $s_1,..., s_n$. More generally the paper studies cyclic gradients in von Neumann algebras, Lie algebras of noncommutative trace-preserving vector fields and the class of cyclomorphic maps which preserve the orthogonals of spaces of cyclic gradients.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0105096
dc.identifierhttp://arxiv.org/abs/math/0105096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61453
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subjectPrimary 46L54; Secondary 46L40, 46L57, 17B65
dc.titleCyclomorphy
dc.typetext

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