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Award ID contains: 2247334

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  1. ; ; (, Journal of Topology and Analysis)
    Locally trivial bundles of [Formula: see text]-algebras with fiber [Formula: see text] for a strongly self-absorbing [Formula: see text]-algebra [Formula: see text] over a finite CW-complex [Formula: see text] form a group [Formula: see text] that is the first group of a cohomology theory [Formula: see text]. In this paper, we compute these groups by expressing them in terms of ordinary cohomology and connective [Formula: see text]-theory. To compare the [Formula: see text]-algebraic version of [Formula: see text] with its classical counterpart we also develop a uniqueness result for the unit spectrum of complex periodic topological [Formula: see text]-theory. 
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  2. (, Revue Roumaine Mathematiques Pures Appliquees)
    In this article, we survey recent results concerning non-stability of discrete groupswith respect to the operator norm. We focus on topological obstructions toperturbing almost representations of a discrete group Γ into unitary groups U(n)to true representations. Several natural notions of stability are discussed: localto-local stability, uniform-to-uniform stability, uniform-to-local stability, and C∗-stability. 
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  3. ; (, Journal of the Mathematical Society of Japan)
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