Non existence of group structure on some quantum spaces

Details Non existence of group structure on some quantum spaces Non existence of group structure on some quantum spaces

2009-04-20

arxiv.org/abs/0904.3019v2

Proc. Amer. Math. Soc. 138 (2010), 2079-2086

Mathematics

Operator Algebras

Short and simple

Scientific paper

We prove that some well known compact quantum spaces like quantum tori and
some quantum two-spheres do not admit a compact quantum group structure. This
is achieved by considering existence of traces, characters and nuclearity of
the corresponding $\mathrm{C}^*$-algebras.

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