Dimension Groups and C*-algebras Associated to Multidimensional Continued Fractions

Thirty years ago, Effros and Shen classified the simple dimension groups with rank two. Every such group is parametrized by an irrational number, and can be constructed as an inductive limit using that number's continued fraction expansion. There is a natural generalization of continued fract...

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Bibliographic Details
Main Author: Maloney, Gregory
Other Authors: Elliott, George Arthur
Language:en_ca
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1807/24315