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Creators/Authors contains: "Alexandru Chirvasitu"

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  1. (, Journal of Lie Theory)
    The characteristic index of a locally compact connected group G is the non- negative integer d for which we have a homeomorphism G ~= K × R d with K maximal compact in G . We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups. 
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    Accepted Manuscript Full Text Available
  2. (, Palestine journal of mathematics)
    We show that compact Riemannian manifolds, regarded as metric spaces with their global geodesic distance, cannot contain a number of rigid structures such as (a) arbitrarily large regular simplices or (b) arbitrarily long sequences of points equidistant from pairs of points preceding them in the sequence. All of this provides evidence that Riemannian metric spaces admit what we term loose embeddings into finite-dimensional Euclidean spaces: continuous maps that preserve both equality as well as inequality. We also prove a local-to-global principle for Riemannian-metric-space loose embeddability: if every finite subspace thereof is loosely embeddable into a common R^N , then the metric space as a whole is loosely embeddable into R^N in a weakened sense. 
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    Accepted Manuscript Full Text Available
  3. (, Munster journal of mathematics)
    We show that for a closed embedding H ≤ G of locally compact quantum groups (LCQGs) with G/H admitting an invariant probability measure, a unitary G-representation is type-I if its restriction to H is. On a related note, we also prove that if an action G ⟳ A of an LCQG on a unital C∗ -algebra admits an invariant state then the full group algebra of G embeds into the resulting full crossed product (and into the multiplier algebra of that crossed product if the original algebra is not unital). We also prove a few other results on crossed products of LCQG actions, some of which seem to be folklore; among them are (a) the fact that two mutually dual quantum-group morphisms produce isomorphic full crossed products, and (b) the fact that full and reduced crossed products by dual-coamenable LCQGs are isomorphic. 
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    Accepted Manuscript Full Text Available
  4. (, Theory and applications of categories)
    Accepted Manuscript Full Text Available