Quantum complex projective spaces from Toeplitz cubes

Hajac P. M., Kaygun A., ZIELINSKI B.

JOURNAL OF NONCOMMUTATIVE GEOMETRY, cilt.6, sa.3, ss.603-621, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4171/jncg/100
  • Dergi Adı: JOURNAL OF NONCOMMUTATIVE GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.603-621
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.