{ "id": "0706.4477", "version": "v2", "published": "2007-06-29T19:37:09.000Z", "updated": "2009-04-07T14:38:20.000Z", "title": "On a Teichmueller functor between the categories of complex tori and the Effros-Shen algebras", "authors": [ "Igor Nikolaev" ], "comment": "8 pages; 2 figures; final version; to appear New York J. Math. Available online at: http://nyjm.albany.edu/j/2009/15-6.html", "journal": "New York J. Math. 15 (2009), 125-132", "categories": [ "math.AG", "math.OA" ], "abstract": "A covariant functor from the category of the complex tori to the category of the Effros-Shen algebras is constructed. The functor maps isomorphic complex tori to the stably isomorphic Effros-Shen algebras. Our construction is based on the Teichmueller theory of the Riemann surfaces.", "revisions": [ { "version": "v2", "updated": "2009-04-07T14:38:20.000Z" } ], "analyses": { "subjects": [ "14H52", "46L85" ], "keywords": [ "teichmueller functor", "functor maps isomorphic complex tori", "stably isomorphic effros-shen algebras", "covariant functor", "riemann surfaces" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0706.4477N" } } }