Twisted cyclic homology of all Podles quantum spheres

被引：18
|
作者：
Hadfield, Tom [1 ]
机构：
[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
cyclic homology; Hochschild homology; quantum group; quantum sphere;
D O I：
10.1016/j.geomphys.2006.03.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We calculate the twisted Hochschild and cyclic homology of all Podles quantum spheres relative to diagonal automorphisms. The dimension drop in Hochschild homology is overcome via twisting by the modular automorphism of the canonical SUq(2)-invariant linear functional. Specializing to the standard quantum sphere, we identify the cohomology class of the 2-cocycle discovered by Schmudgen and Wagner corresponding to the distinguished covariant differential calculus found by Podles. (c) 2006 Elsevier B.V. All rights reserved.
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页码：339 / 351
页数：13
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