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

被引:8
作者
Hajac, Piotr M. [1 ]
Nest, Ryszard [2 ]
Pask, David [3 ]
Sims, Aidan [3 ]
Zielinski, Bartosz [4 ]
机构
[1] Polish Acad Sci, Inst Matemat, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
[2] Univ Copenhagen, Dept Math, Univ Pk 5, DK-2100 Copenhagen, Denmark
[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
[4] Univ Lodz, Fac Phys & Appl Informat, Dept Comp Sci, Pomorska 149-153, PL-90236 Lodz, Poland
基金
澳大利亚研究理事会; 新加坡国家研究基金会;
关键词
Free action on C *-algebras; associated noncommutative line bundle; multipullback and higher-rank graph C *-algebras; noncommutative deformation; ALGEBRAS; BUNDLES;
D O I
10.4171/JNCG/292
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 these K-groups remain the same for more general twisted versions of our quantum odd spheres and complex projective spaces.
引用
收藏
页码:823 / 863
页数:41
相关论文
共 34 条