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Abstract
We give a number of new characterizations of the Jiang–Su algebra 𝒵, both intrinsic and extrinsic, in terms of C*-algebraic, dynamical, topological and K-theoretic conditions. Along the way we study divisibility properties of C*-algebras, we give a precise characterization of those unital C*-algebras of stable rank one that admit a unital embedding of the dimension-drop C*-algebra Zn, n+1, and we prove a cancellation theorem for the Cuntz semigroup of C*-algebras of stable rank one.
Received: 2008-01-14
Revised: 2009-01-15
Published Online: 2010-02-09
Published in Print: 2010-May
© Walter de Gruyter Berlin · New York 2010
