Quantum complex projective spaces from Toeplitz cubes

Piotr M. Hajac*, Atabey Kaygun, Bartosz Zielínski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)603-621
Number of pages19
JournalJournal of Noncommutative Geometry
Issue number3
Publication statusPublished - 2012
Externally publishedYes


FundersFunder number
Seventh Framework Programme230836


    • C*-ideals
    • Free distributive lattices
    • Multi-pullback C*-algebras


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