The Haar measure on some locally compact quantum groups

Abstract

The Haar measure on some locally compact quantum groups is constructed. The main example we treat is the az+b-group of Woronowicz. We also briefly consider some other examples (like the ax+b-group). We get the first examples of a locally compact quantum group where the Haar measure is not invariant with respect to the scaling group.

References in corpus (1)

• Universal C*-algebraic quantum groups arising from algebraic quantum groups

Cited by in corpus (6)

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• Holomorphic Functions of Exponential Type and Duality for Stein Groups with Algebraic Connected Component of Identity
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• On some low dimensional quantum groups
• A (2n+1)-dimensional quantum group constructed from a skew-symmetric matrix