Geodesic laminations and Bratteli diagrams of AF C*-algebras
نویسنده
چکیده
Geodesic laminations is a remarkable abstraction (due to W. P. Thurston) of many otherwise unrelated phenomena occurring in differential geometry, complex analysis and geometric topology. In this article we focus on connections of geodesic laminations with the inductive limits of finite-dimensional semi-simple C-algebras (AF C-algebras). Our main result is a bijection between combinatorial presentation of such C-algebras (so-called Bratteli diagrams) and geodesic laminations on compact Riemann surfaces.
منابع مشابه
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تاریخ انتشار 2009