# A Remark on Quantum Group Actions and Nuclearity

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;%%"
}

Keywords:

*none*