The K-theory of twisted multipullback quantum odd spheres and complex projective spaces
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
The K-theory of twisted multipullback quantum odd spheres and complex projective spaces. / Hajac, Piotr M.; Nest, Ryszard; Pask, David; Sims, Aidan; Zielinski, Bartosz.
In: Journal of Noncommutative Geometry, Vol. 12, No. 3, 2018, p. 823-863.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - The K-theory of twisted multipullback quantum odd spheres and complex projective spaces
AU - Hajac, Piotr M.
AU - Nest, Ryszard
AU - Pask, David
AU - Sims, Aidan
AU - Zielinski, Bartosz
PY - 2018
Y1 - 2018
N2 - We find multipullback quantum odd-dimensional spheres equipped with natural U.1/-actions that yield the multipullback quantum complex projective spaces constructed from Toeplitz cubes as noncommutative quotients. We prove that the noncommutative line bundles associated to multipullback quantum odd spheres are pairwise stably non-isomorphic, and that the K-groups of multipullback quantum complex projective spaces and odd spheres coincide with their classical counterparts.We show that theseK-groups remain the same for more general twisted versions of our quantum odd spheres and complex projective spaces.
AB - We find multipullback quantum odd-dimensional spheres equipped with natural U.1/-actions that yield the multipullback quantum complex projective spaces constructed from Toeplitz cubes as noncommutative quotients. We prove that the noncommutative line bundles associated to multipullback quantum odd spheres are pairwise stably non-isomorphic, and that the K-groups of multipullback quantum complex projective spaces and odd spheres coincide with their classical counterparts.We show that theseK-groups remain the same for more general twisted versions of our quantum odd spheres and complex projective spaces.
KW - Associated noncommutative line bundle
KW - Free action on C∗-algebras
KW - Multipullback and higher-rank graph C∗-algebras
KW - Noncommutative deformation.
UR - http://www.scopus.com/inward/record.url?scp=85056347057&partnerID=8YFLogxK
U2 - 10.4171/JNCG/292
DO - 10.4171/JNCG/292
M3 - Journal article
AN - SCOPUS:85056347057
VL - 12
SP - 823
EP - 863
JO - Journal of Noncommutative Geometry
JF - Journal of Noncommutative Geometry
SN - 1661-6952
IS - 3
ER -
ID: 215083744