Quantum spaces without group structure

Sołtan, Piotr

doi:10.1090/S0002-9939-10-10265-2

Quantum spaces without group structure
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by Piotr M. Sołtan PDF

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

Abstract:

We prove that some well known compact quantum spaces such as 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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