Examples of non-compact quantum group actions

Details Examples of non-compact quantum group actions Examples of non-compact quantum group actions

2010-01-04

arxiv.org/abs/1001.0520v1

J. Math. Anal. Appl. 372 (2010), 224-236

Mathematics

Operator Algebras

13 pages, LaTeX

Scientific paper

We present two examples of actions of non-regular locally compact quantum groups on their homogeneous spaces. The homogeneous spaces are defined in a way specific to these examples, but the definitions we use have the advantage of being expressed in purely $\mathrm{C}^*$-algebraic language. We also discuss continuity of the obtained actions. Finally we describe in detail a general construction of quantum homogeneous spaces obtained as quotients by compact quantum subgroups.

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