Sklyanin algebras revisited

Details Sklyanin algebras revisited Sklyanin algebras revisited

2011-09-29

arxiv.org/abs/1109.6688v2

Mathematics

Operator Algebras

8 pages; reference added, feedback included -- thanks to all who responded

Scientific paper

It is proved that the Sklyanin algebra on 4 generators and 6 relations modulo
an ideal is isomorphic to a dense sub-algebra of the noncommutative torus. As a
corollary one gets a functor between the categories of elliptic curves and
noncommutative tori.

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