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Paper detail

Quantum projective space from Toeplitz cubes

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.

preprint2010arXivOpen access
Piotr M. HajacAtabey KaygunBartosz Zielinski
math.OAmath.QA
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Piotr M. HajacAtabey KaygunBartosz Zielinski

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