On locally compact quantum groups whose algebras are factors

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dc.creatorFima, Pierre
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:50:44Z
dc.date.available2026-07-07T06:50:44Z
dc.descriptionIn this paper we are interested in examples of locally compact quantum groups $(M,Δ)$ such that both von Neumann algebras, $M$ and the dual $\hat{M}$, are factors. There is a lot of known examples such that $(M,\hat{M})$ are respectively of type $(\rm{I}\_{\infty},\rm{I}\_{\infty})$ but there is no examples with factors of other types. We construct new examples of type $(\rm{I}\_{\infty},\rm{II}\_{\infty})$, $(\rm{II}\_{\infty},\rm{II}\_{\infty})$ and $(\rm{III}\_λ,\rm{III}\_λ)$ for each $λ\in [0,1]$. Also we show that there is no such example with $M$ or $\hat{M}$ a finite factor.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0511085
dc.identifierhttp://arxiv.org/abs/math/0511085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104758
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.subjectMSC : 46L52, 46L65
dc.titleOn locally compact quantum groups whose algebras are factors
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