scholarly journals Non-commutative Poisson Boundaries and Compact Quantum Group Actions

2002 ◽  
Vol 169 (1) ◽  
pp. 1-57 ◽  
Author(s):  
Masaki Izumi
Keyword(s):  
Quantum Group ◽  
Group Actions ◽  
Compact Quantum Group ◽  
Quantum Group Actions

scholarly journals Model theory and Rokhlin dimension for compact quantum group actions

2019 ◽  
Vol 13 (2) ◽  
pp. 711-767 ◽  
Author(s):  
Eusebio Gardella ◽  
Mehrdad Kalantar ◽  
Martino Lupini
Keyword(s):  
Quantum Group ◽  
Model Theory ◽  
Group Actions ◽  
Compact Quantum Group ◽  
Quantum Group Actions

scholarly journals A REMARK ON QUANTUM GROUP ACTIONS AND NUCLEARITY

2002 ◽  
Vol 14 (07n08) ◽  
pp. 787-796 ◽  
Author(s):  
S. DOPLICHER ◽  
R. LONGO ◽  
J. E. ROBERTS ◽  
L. ZSIDÓ
Keyword(s):  
Fixed Point ◽  
Quantum Group ◽  
Haar Measure ◽  
Group Actions ◽  
Compact Quantum Group ◽  
C Algebra ◽  
Quantum Group Actions

Let H be a compact quantum group with faithful Haar measure and bounded counit. If α is an action of H on a C*- algebra A, we show that A is nuclear if and only if the fixed-point subalgebra Aα is nuclear. As a consequence H is a nuclear C*-algebra.

Quantum Group Actions on the Cuntz Algebra

2000 ◽  
Vol 1 (6) ◽  
pp. 1097-1122 ◽  
Author(s):  
A.L. Carey ◽  
A. Paolucci ◽  
R.B. Zhang
Keyword(s):  
Quantum Group ◽  
Group Actions ◽  
Cuntz Algebra ◽  
Quantum Group Actions
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