Symmetries of a generic coaction

dc.creatorBanica, Teodor
dc.date1998-11-09
dc.date1999-01-29
dc.date.accessioned2026-07-07T05:26:48Z
dc.date.available2026-07-07T05:26:48Z
dc.descriptionIf B is C*-algebra of finite dimension n>3 then the finite dimensional irreducible representations of the compact quantum automorphism group of B, say G, have the same fusion rules as the ones of SO(3). As consequences, we get (1) a structure result for G in the case where B is a matrix algebra (2) if n>4 then the dual of G is not amenable (3) the fixed point subfactor P^G\subset (B\otimes P)^G has index n and principal graph A_\infty.
dc.description12 pages, amslatex. v2 contains detailed proofs of the 3 corollaries, to appear in Math. Ann
dc.identifierhttps://arxiv.org/abs/math/9811060
dc.identifierhttp://arxiv.org/abs/math/9811060
dc.identifierMath. Ann. 314 (1999), 763-780
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77686
dc.subjectQuantum Algebra
dc.titleSymmetries of a generic coaction
dc.typetext

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