@article{5f3a6ffd85314a97b9649f54459fa37a,
title = "Quantum complex projective spaces from Toeplitz cubes",
abstract = "From N-tensor powers of the Toeplitz algebra, we construct a multi-pullback C*-algebra that is a noncommutative deformation of the complex projective space P N(C). Using Birkhoff's Representation Theorem, we prove that the lattice of kernels of the canonical projections on components of the multi-pullback 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.",
keywords = "C*-ideals, Free distributive lattices, Multi-pullback C*-algebras",
author = "Hajac, {Piotr M.} and Atabey Kaygun and Bartosz Ziel{\'i}nski",
year = "2012",
doi = "10.4171/JNCG/100",
language = "English",
volume = "6",
pages = "603--621",
journal = "Journal of Noncommutative Geometry",
issn = "1661-6952",
publisher = "European Mathematical Society Publishing House",
number = "3",
}