Representation and duality of unimodular C*-discrete quantum groups
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Suppose that D is a C*-discrete quantum group and D0 a discrete quantum group associated with D. If there exists a continuous action of D on an operator algebra L(H) so that L(H) becomes a D- module algebra, and if the inner product on the Hilbert space H is D- invariant, there is a unique C*-representation Θ of D associated with the action. The fixed-point subspace under the action of D is a Von Neumann algebra, and furthermore, it is the commutant of Θ(D) in L(H).
Abstract
Suppose that D is a C*-discrete quantum group and D0 a discrete quantum group associated with D. If there exists a continuous action of D on an operator algebra L(H) so that L(H) becomes a D- module algebra, and if the inner product on the Hilbert space H is D- invariant, there is a unique C*-representation Θ of D associated with the action. The fixed-point subspace under the action of D is a Von Neumann algebra, and furthermore, it is the commutant of Θ(D) in L(H).
참고문헌 (11)
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