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.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - Analisi Matematica
English
C*-algebra; Coaction; Compact quantum group; Nuclearity
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.
Doplicher, S; Longo, R; Roberts, Je; Zsido, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/54275
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