The paper proves that infinite rank cluster algebras are precisely the ind-objects of finite rank cluster algebras, and that the coordinate ring of the Sato-Segal-Wilson Grassmannian is such an ind-cluster algebra.
I lke C anak c \ and Anna Felikson
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Ind-cluster algebras and infinite Grassmannians
The paper proves that infinite rank cluster algebras are precisely the ind-objects of finite rank cluster algebras, and that the coordinate ring of the Sato-Segal-Wilson Grassmannian is such an ind-cluster algebra.