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 Ge...
Supported by the National Natural Science Foundation of China (Grant No10371049);the Research Fund for the Doctoral Program of Higher Education of China (Grant No20050183002)
Two equivalent conditions are given for the non-commutative unital C^*-subalgebras of B(H) algebras A and B to be quantum C^* independent.