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Creators/Authors contains: "Dadarlat, Marius"

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  1. (, 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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  2. ; ; (, 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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  3. ; (, Journal of the Mathematical Society of Japan)
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  4. ; (, International Journal of Mathematics)
    We prove that a Bieberbach group with trivial center is not connective and use this property to show that a Bieberbach group is connective if and only if it is poly-[Formula: see text]. 
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  5. (, Operator algebras and mathematical physics)
    In their study of almost group representations, Manuilov and Mishchenko introduced and investigated the notion of asymptotic stability of a finitely presented discrete group. In this paper we establish connections between connectivity of amenable groups and asymptotic stability and exhibit new classes of asymptotically stable groups. In particular, we show that if G is an amenable and connective discrete group whose classifying space BG is homotopic to a finite simplicial complex, then G is asymptotically stable. 
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  6. (, Münster journal of mathematics)
    It is shown that a separable exact residually finite dimensional C*-algebra with locally finitely generated (rational) K0-homology embeds in a uniformly hyperfinite C*-algebra. 
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  7. ; ; (, Annals of K-Theory)
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