3,073 research outputs found

    The primitive ideals of some \'etale groupoid C*-algebras

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    Consider the Deaconu-Renault groupoid of an action of a finitely generated free abelian monoid by local homeomorphisms of a locally compact Hausdorff space. We catalogue the primitive ideals of the associated groupoid C*-algebra. For a special class of actions we describe the Jacobson topology.Comment: 22 page

    Two words in the Sogdian version of the Antirrheticus of Evagrius Ponticus

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    The Dixmier-Douady Classes of Certain Groupoid C∗C^*-Algebras with Continuous Trace

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    Given a locally compact abelian group GG, we give an explicit formula for the Dixmier--Douady invariant of the C∗C^*-algebra of the groupoid extension associated to a \v{C}ech 22-cocycle in the sheaf of germs of continuous GG-valued functions. We then exploit the blow-up construction for groupoids to extend this to some more general central extensions of \'etale equivalence relations

    Token frequency as a determinant of morphological change

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    Fabrication of an in-plane SU-8 cantilever with integrated strain gauge for wall shear stress measurements in fluid flows.

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    We present a cantilever fabricated from the polymer SU-8 for the measurement of wall shear stress in fluid flows. The pressure induced deflection of the cantilever, measured using a calibrated and integrated nichrome strain gauge, can be related to the wall shear stress on the surface. The initial degree of curvature of the cantilever can be controlled via the exposure dose, which allows a small positive deflection to be achieved, and so minimises the intrusion into the flow. Wind tunnel testing results show a sensitivity greater than 2.5 mV/Pa, with a shear stress of 0.38 Pa and excitation of 1 V
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