A minimal action of the compact quantum group SUq(n) on a full factor

Yoshimichi UEDA

doi:10.2969/jmsj/05120449

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Home > Journals > J. Math. Soc. Japan > Volume 51 > Issue 2 > Article

April, 1999 A minimal action of the compact quantum group

SU_{q}(n)

on a full factor

Yoshimichi UEDA

J. Math. Soc. Japan 51(2): 449-461 (April, 1999). DOI: 10.2969/jmsj/05120449

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Abstract

Based on the free product construction we show that a certain full factor of type $III_{q^{2}}$ admits a minimal coaction of the compact quantum group $SU_{q}(n)$ . Minimal coactions of compact Kac algebras are also investigated by the same technique.

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Yoshimichi UEDA. "A minimal action of the compact quantum group $SU_{q}(n)$ on a full factor." J. Math. Soc. Japan 51 (2) 449 - 461, April, 1999. https://doi.org/10.2969/jmsj/05120449