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arXiv · 1808.03152

Connes-Landi spheres are homogeneous spaces

Mitsuru Wilson
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Abstract

In this paper, we review some recent developments of compact quantum groups that arise as $\theta$-deformations of compact Lie groups of rank at least two. A $\theta$-deformation is merely a 2-cocycle deformation using an action of a torus of dimension higher than 2. Using the formula (Lemma 5.3) developed in \cite{W2018}, we derive the noncommutative 7-sphere in the sense of Connes and Landi \cite{CL2001} as the fixed-point subalgebra.

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Mitsuru Wilson. 2018-08-07. Connes-Landi spheres are homogeneous spaces. https://arxiv.org/abs/1808.03152

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