TY - JOUR
T1 - Representation and duality of unimodular C*-discrete quantum groups
AU - Lining, Jiang
PY - 2008/3
Y1 - 2008/3
N2 - 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).
AB - 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).
KW - Discrete quantum group C-algebra Representation Duality
UR - http://www.scopus.com/inward/record.url?scp=41049118472&partnerID=8YFLogxK
U2 - 10.4134/JKMS.2008.45.2.575
DO - 10.4134/JKMS.2008.45.2.575
M3 - Article
AN - SCOPUS:41049118472
SN - 0304-9914
VL - 45
SP - 575
EP - 585
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
IS - 2
ER -