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  1. ; (, Journal of the London Mathematical Society)
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  2. (, Groups, Geometry, and Dynamics)
    A group is called matricial field (MF) if it admits finite-dimensional approximate unitary representations which are approximately faithful and approximately contained in the left regular representation. This paper provides a new class of MF groups by showing that given two amenable groups with a common normal subgroup, the amalgamated free product is MF. 
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  3. ; (, Proceedings of the American Mathematical Society)
    We prove that for any countable directed graph E E with Condition (K), the associated graph C ∗<#comment/> C^* -algebra C ∗<#comment/> ( E ) C^*(E) has nuclear dimension at most 2 2 . Furthermore, we provide a sufficient condition producing an upper bound of 1 1 . 
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  4. ; ; (, Communications in Mathematical Physics)
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  5. ; (, Journal of the London Mathematical Society)
    For separable ‐algebras and , we define a topology on the set consisting of homotopy classes of asymptotic morphisms from to . This gives an enrichment of the Connes–Higson asymptotic category over topological spaces. We show that the Hausdorffization of this category is equivalent to the shape category of Dadarlat. As an application, we obtain a topology on the ‐theory group with properties analogous to those of the topology on . The Hausdorffized ‐theory group is also introduced and studied. We obtain a continuity result for the functor , which implies a new continuity result for the functor. 
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