Mathematics – Quantum Algebra
Scientific paper
2006-04-18
Mathematics
Quantum Algebra
18 pages
Scientific paper
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.
Blohmann Christian
Tang Xianzhu
Weinstein Alan
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