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Wilhelm Winter

  1. Minimal dynamics and Z-stable classification.

    Пнд, 01/11/2010 - 16:01 — SomNambul
    Authors: Wilhelm Winter, Karen R. Strung
    Subjects: Operator Algebras
    Abstract

    Let X be an infinite compact metric space, \alpha : X \to X a minimal
    homeomorphism, u the unitary implementing \alpha in the transformation group
    C*-algebra, and S a class of separable nuclear C*-algebras that contains all
    unital hereditary C*-subalgebras of C*-algebras in S.

  2. Perturbations of nuclear C*-algebras.

    Втр, 10/27/2009 - 16:01 — SomNambul
    Authors: Wilhelm Winter, Erik Christensen, Allan Sinclair, Stuart White, Roger Smith
    Subjects: Operator Algebras
    Abstract

    Kadison and Kastler introduced a natural metric on the collection of all
    C*-subalgebras of the bounded operators on a separable Hilbert space. They
    conjectured that sufficiently close algebras are unitarily conjugate. We
    establish this conjecture when one algebra is separable and nuclear. We also
    consider one-sided versions of these notions, and we obtain embeddings from
    certain near inclusions involving separable nuclear C*-algebras.

  3. Decomposition rank and Z-stability.

    Пнд, 08/31/2009 - 17:16 — SomNambul
    Authors: Wilhelm Winter
    Subjects: Operator Algebras
    Abstract

    We show that separable, simple, unital C*-algebras with finite decomposition
    rank absorb the Jiang-Su algebra Z tensorially. This has a number of
    consequences for Elliott's program to classify nuclear C*-algebras by their
    K-theory data. In particular, it completes the classification of C*-algebras
    associated to uniquely ergodic, smooth, minimal dynamical systems by their
    ordered K-groups.

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