TY - JOUR
T1 - Compact quantum ergodic systems
AU - Tomatsu, Reiji
N1 - Funding Information:
The author is grateful to Yasuyuki Kawahigashi, Shigeru Yamagami and Junichi Shiraishi for permanent encouragement and fruitful discussions. This work was partially supported by Research Fellowship for Young Scientists of the Japan Society for the Promotion of Science.
PY - 2008/1/1
Y1 - 2008/1/1
N2 - We develop theory of multiplicity maps for compact quantum groups. As an application, we obtain a complete classification of right coideal C*-algebras of C (SUq (2)) for q ∈ [- 1, 1) {set minus} {0}. They are labeled with Dynkin diagrams, but classification results for positive and negative cases of q are different. Many of the coideals are quantum spheres or quotient spaces by quantum subgroups, but we do have other ones in our classification list.
AB - We develop theory of multiplicity maps for compact quantum groups. As an application, we obtain a complete classification of right coideal C*-algebras of C (SUq (2)) for q ∈ [- 1, 1) {set minus} {0}. They are labeled with Dynkin diagrams, but classification results for positive and negative cases of q are different. Many of the coideals are quantum spheres or quotient spaces by quantum subgroups, but we do have other ones in our classification list.
KW - Compact quantum groups
KW - Ergodic actions
KW - Right coideals
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U2 - 10.1016/j.jfa.2007.08.013
DO - 10.1016/j.jfa.2007.08.013
M3 - Article
AN - SCOPUS:36649018272
SN - 0022-1236
VL - 254
SP - 1
EP - 83
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -