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arXiv · 1008.0673

Quantum projective space from Toeplitz cubes

Piotr M. Hajac·Atabey Kaygun·Bartosz Zielinski
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Abstract

From N-tensor powers of the Toeplitz algebra, we construct a multipullback C*-algebra that is a noncommutative deformation of the complex projective space CP(N). Using Birkhoff's Representation Theorem, we prove that the lattice of kernels of the canonical projections on components of the multipullback C*-algebra is free. This shows that our deformation preserves the freeness of the lattice of subsets generated by the affine covering of the complex projective space.

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Piotr M. Hajac, Atabey Kaygun, Bartosz Zielinski. 2010-08-03. Quantum projective space from Toeplitz cubes. https://arxiv.org/abs/1008.0673

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