H-代数的等变循环上同调
K理论与同调
2007-05-23 v3
摘要
我们针对具有可逆对极元的 Hopf 代数上的 Yetter-Drinfeld 代数定义了一种等变 -理论。然后我们证明该定义可推广到所有 Hopf-模代数。我们证明在此理论与适当定义的 Hopf 代数等变循环上同调理论之间存在一个配对,它推广了 Connes 配对。
引用
@article{arxiv.math/0009236,
title = {Equivariant Cyclic Cohomology of H-Algebras},
author = {R. Akbarpour and M. Khalkhali},
journal= {arXiv preprint arXiv:math/0009236},
year = {2007}
}
备注
Final version to be published in "K-theory". The title has been changed, new examples added and it is shown that our K-theory is isomorphic to the K-theory defined in [14]