A Remark on Quantum Group Actions and Nuclearity

Sergio Doplicher, Roberto Longo, John E. Roberts, Laszlo Zsido
April 02, 2002
Let H be a compact quantum group with faithful Haar measure and bounded counit. If H acts on a C*-algebra A, we show that A is nuclear if and only if its fixed-point subalgebra is nuclear. As a consequence H is a nuclear C*-algebra.
open access link Reviews in Mathematical Physics 14, N. 7 & 8 (2002), 787-796
@article{Doplicher:2002zz, author = "Doplicher, Sergio and Longo, Roberto and Roberts, John E. and Zsido, Laszlo", title = "{A remark on quantum group actions and nuclearity}", journal = "Rev. Math. Phys.", volume = "14", year = "2002", pages = "787-796", doi = "10.1142/S0129055X02001399", eprint = "math/0204029", archivePrefix = "arXiv", primaryClass = "math.OA", SLACcitation = "%%CITATION = MATH/0204029;%%" }