1,214 research outputs found

    Zappa-Szep products of semigroups and their C*-algebras

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    Zappa-Szep products of semigroups provide a rich class of examples of semigroups that include the self-similar group actions of Nekrashevych. We use Li's construction of semigroups C*-algebras to associate a C*-algebra to Zappa-Szep products and give an explicit presentation of the algebra. We then define a quotient C*-algebra that generalises the Cuntz-Pimsner algebras for self-similar actions. We indicate how knowne examples, previously viewed as distinct classes, fit into our unifying framework. We specifically discuss the Baumslag-Solitar groups, the binary adding machine, the semigroup NXNx, and the ax+b semigroup ZXZx

    Zappa-Szép product groupoids and C*-blends

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    We study the external and internal Zappa–Szép product of topological groupoids. We show that under natural continuity assumptions the Zappa–Szép product groupoid is étale if and only if the individual groupoids are étale. In our main result we show that the C∗C∗-algebra of a locally compact Hausdorff étale Zappa–Szép product groupoid is a C∗C∗-blend, in the sense of Exel, of the individual groupoid C∗C∗-algebras. We finish with some examples, including groupoids built from ∗∗-commuting endomorphisms, and skew product groupoids

    Zappa-Szép product groupoids and C*-blends

    No full text
    We study the external and internal Zappa-Szép product of topological groupoids.We show that under natural continuity assumptions the Zappa-Szép product groupoid is étale if and only if the individual groupoids are étale. In our main result we show that the C*-algebra of a locally compact Hausdorff étale Zappa-Szép product groupoid is a C*-blend, in the sense of Exel, of the individual groupoid C*-algebras. We finish with some examples, including groupoids built from ⁎-commuting endomorphisms, and skew product groupoids

    The Unendorsable Frank Zappa

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    The title seems cryptic at first, and the thanks extended to “Jesus Christ—the author of all things good” in the acknowledgments section somewhat puzzling. This collection of essays gathered by Paul Carr offers a comprehensive view of Frank Zappa the artist, the public figure and the man. A prolific performer, composer, producer, recording engineer, social commentator and occasional film director, Frank Zappa never achieved the level of popularity of the major American bands that emerged in t..

    Zappa–Szép products of semigroups and their C*-algebras

    No full text
    Zappa–Szép products of semigroups provide a rich class of examples of semigroups that include the self-similar group actions of Nekrashevych. We use Li's construction of semigroup C*-algebras to associate a C*-algebra to Zappa–Szép products and give an explicit presentation of the algebra. We then define a quotient C*-algebra that generalises the Cuntz–Pimsner algebras for self-similar actions. We indicate how known examples, previously viewed as distinct classes, fit into our unifying framework. We specifically discuss the Baumslag–Solitar groups, the binary adding machine, the semigroup N⋊N×, and the ax+b-semigroup Z⋊Z×

    Zappa-Szep products of semigroups and their C*-algebras

    No full text
    Zappa-Szep products of semigroups provide a rich class of examples of semigroups that include the self-similar group actions of Nekrashevych. We use Li's construction of semigroup C*-algebras to associate a C*-algebra to Zappa-Szep products and give an explicit presentation of the algebra. We then define a quotient C*-algebra that generalises the Cuntz-Pimsner algebras for self-similar actions. We indicate how known examples, previously viewed as distinct classes, fit into our unifying framework. We specifically discuss the Baumslag-Solitar groups, the binary adding machine, the semigroup N x N×, and the ax + b-semigroup Z x Z×

    The importance of Metrofood Ri for/in the development of the agrofood sector in the South Eastern European (SEE) partner countries

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    METROFOOD-RI is a European Research Infrastructure (RI) aiming at promoting metrology in food and nutrition. In the present work, a mapping of existing RIs and networks of the South Eastern European (SEE) METROFOOD partner countries (i.e. FYROM, Greece, Hungary, Republic of Moldova, Romania, Slovenia), related directly or indirectly to the Agrifood sector, is presented and discussed. As reference METROFOOD partner country, The Netherlands is considered. Copyright� (2017) by the International Measurement Confederation (IMEKO). All rights reserved
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