The -theory of twisted multipullback quantum odd spheres and complex projective spaces

PM Hajac, R Nest, D Pask, A Sims… - Journal of …, 2018 - ems.press
We find multipullback quantum odd-dimensional spheres equipped with natural U. 1/-
actions that yield the multipullback quantum complex projective spaces constructed from …

The K-theory of the triple-Toeplitz deformation of the complex projective plane

J Rudnik - arXiv preprint arXiv:1207.2066, 2012 - arxiv.org
We consider a family $\pi^ i_j\colon B_i\rightarrow B_ {ij}= B_ {ji} $, $ i, j\in\{1, 2, 3\} $, $ i\neq
j $, of $ C^* $-epimorphisms assuming that it satisfies the cocycle condition. Then we show …

Noncommutative bundles over the multi-pullback quantum complex projective plane

PM Hajac, J Rudnik - arXiv preprint arXiv:1512.08772, 2015 - arxiv.org
We equip the multi-pullback $ C^* $-algebra $ C (S^ 5_H) $ of a noncommutative-
deformation of the 5-sphere with a free $ U (1) $-action, and show that its fixed-point …

Piecewise Principal Coactions of Co-Commutative Hopf Algebras

B Zieliński - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2014 - emis.de
Principal comodule algebras can be thought of as objects representing principal bundles in
non-commutative geometry. A crucial component of a principal comodule algebra is a strong …

[引用][C] Noncommutative line bundles associated to twisted multipullback quantum odd spheres

PM Hajac, D PASK, A SIMS, B ZIELINSKI - arXiv preprint arXiv:1512.08816, 2015