On cocycle twisting of compact quantum groups

preprint2009arXivOpen access

Abstract

In this article, we give a class of examples of compact quantum groups and unitary 2-cocycles on them, such that the twisted quantum groups are non-compact, but still locally compact quantum groups (in the sense of Kustermans and Vaes). This also provides examples of cocycle twists where the underlying C*-algebra of the quantum group changes.

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