数学学科2020系列学术报告十八 （量子群及其表示理论系列报告）

报告人：张姣(讲师)，上海大学

题目: Cyclic homology of strong smash product algebras

时间：2020/11/10, 13:30-14:10，腾讯会议：会议号：150759920，密码：123456

摘要：For the strong smash product algebra $A/#_{_R}B$ of two algebras $A$and $B$ with a bijective morphism $R$ mapping from $B/ot A$ to $A/ot B$, we construct a cylindrical module $A/natural B$ whose diagonal cyclic module $/Delta_{/bullet}(A/natural B)$ is graphically proven to be isomorphic to$C_{/bullet}(A/#_{_R}B)$ the cyclic module of the algebra.A spectral sequence is established to converge  to the cyclic homology of $A/#_{_R}B$. Examples are provided to show how our results work. We also obtain the cyclic homology of Pareigis's algebra.