无理旋转代数上的Hopfish结构与模
Hopfish structure and modules over irrational rotation algebras
摘要：
受$S^1/ \bbZ$上群结构的启发，我们在有限傅里叶级数的无理旋转代数$A$上引入了一个弱Hopfish结构.考虑一类由可逆元定义的简单$A$ -模，并计算由Hopfish结构定义的这些模之间的张量积.这类简单模生成了一个有趣的交换单位环。
英文摘要：
Inspired by the group structure on $S^1/ \bbZ$, we introduce a weak hopfish structure on an irrational rotation algebra $A$ of finite Fourier series. We consider a class of simple $A$-modules defined by invertible elements, and we compute the tensor product between these modules defined by the hopfish structure. This class of simple modules turns out to generate an interesting commutative unital ring.
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