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arXiv · 0903.1322

Quantum symmetries of classical spaces

Jyotishman Bhowmick·Debashish Goswami·Subrata Shyam Roy
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Abstract

We give a general scheme for constructing faithful actions of genuine (noncommutative as $C^*$ algebra) compact quantum groups on classical topological spaces. Using this, we show that: (i) a compact connected classical space can have a faithful action by a genuine compact quantum group, and (ii) there exists a spectral triple on a classical connected compact space for which the quantum group of orientation and volume preserving isometries (in the sense of \cite{qorient}) is a genuine quantum group.

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Jyotishman Bhowmick, Debashish Goswami, Subrata Shyam Roy. 2009-10-06. Quantum symmetries of classical spaces. https://arxiv.org/abs/0903.1322

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