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Compact quantum groups and their corepresentations

Published online by Cambridge University Press:  17 April 2009

Huu Hung Bui
Huu Hung Bui
Affiliation:
School of MathematicsThe University of New South WalesSydney NSW 2025Australia
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Abstract

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A compact quantum group is defined to be a unital Hopf C*–algebra generated by the matrix elements of a family of invertible corepresentations. We present a version of the Tannaka–Krein duality theorem for compact quantum groups in the context of abstract categories; this result encompasses the result of Woronowicz and the classical Tannaka-Krein duality theorem. We construct the orthogonality relations (similar to the case of compact groups). The Plancherel theorem is then established.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 73 - 91
Copyright
Copyright © Australian Mathematical Society 1998

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