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蒋立宁 《北京理工大学学报(英文版)》2003,12(1):101-104
Let F be the field algebra of G-spin model,D(G)the double algebra of a finite group G and D(H)the sub-Hopf algerba of D(G)determined by the subgroup H of G.The paper builds a correspondence between D(H)and the D(H)-invariant sub-C*-algebra AH in F,and proves that the correspondence is strictly monotonic. 相似文献
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LetGbeacompactgroupwithaunitee,and C(G)thespaceofallcomplexcontinuousfunctions onG.C(G)isaC algebrawithproductdefined by(fg)(t)=f(t)g(t)andthestandardinvolution definedbyf(t)=f(t)(f,g∈C(G),t∈G).Underthestructuremaps(Δf)(s,t)=f(st),ε(f)=f(e)and(Sf)(t)=f(t-1),C(G)be comesaHopfalgebra.IfGisalocallycompact group,letC0(G)bethespaceofcomplexcontinuous functionsonGtendingto0atinfinity,C0(G)isal soaC algebra.HoweverC0(G)hasnounit,this leadstotheconceptofamultiplierHopfalgebra[1].Aswehave… 相似文献
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Let H be a finite Hopf C^* -algebra and H′be its dual Hopf algebra. Drinfeld's quantum double D(H) of H is a Hopf^*-algebra. There is a faithful positive linear functional θ on D(H). Through the associated Gelfand-Naimark-Segal (GNS) representation, D(H) has a faithful^* -representation so that it becomes a Hopf C^* -algebra. The canonical embedding map of H into D(H) is isometric. 相似文献
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