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- 저자 : Jiang Lining (검색결과 2 건)
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REPRESENTATION AND DUALITY OF UNIMODULAR C<sup>*</sup>-DISCRETE QUANTUM GROUPS
Lining, Jiang Korean Mathematical Society 2008 대한수학회지 Vol.45 No.2
Suppose that D is a $C^*$-discrete quantum group and $D_0$ 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 $\theta$ 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 $\theta$(D) in L(H).
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Representation and duality of unimodular C*-discrete quantum groups
Jiang Lining 대한수학회 2008 대한수학회지 Vol.45 No.2
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). 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).
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