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.
Doplicher, S., Longo, R., Roberts, J.e., Zsido, L. (2002). A remark on quantum group actions and nuclearity. REVIEWS IN MATHEMATICAL PHYSICS, 14, 787-796.
A remark on quantum group actions and nuclearity
LONGO, ROBERTO;ZSIDO, LASZLO
2002-01-01
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons
