Geometry of the Cuntz-Krieger algebras

Details Geometry of the Cuntz-Krieger algebras Geometry of the Cuntz-Krieger algebras

2012-01-05

arxiv.org/abs/1201.1047v1

Mathematics

Operator Algebras

8 pages; preliminary version

Scientific paper

We prove that Sklyanin's algebras over a finite field and a family of
Cuntz-Krieger algebras admit an isomorphic extension. As a consequence, the
Cuntz-Krieger algebras classify elliptic curves in projective space over the
finite field.

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