%0 Journal Article
%T A duality principle for noncommutative cubes and spheres
%A Teodor Banica
%J Mathematics
%D 2015
%I arXiv
%X We discuss a general duality principle, between noncommutative analogues of the standard cube $\mathbb Z_2^N$, and nonocommutative analogues of the standard sphere $S^{N-1}_\mathbb R$. This duality is by construction of algebraic geometric nature, and conjecturally connects the corresponding quantum isometry groups, taken in an affine sense.
%U http://arxiv.org/abs/1502.05315v3