22,318 research outputs found

    The Divorce of Americans in France

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    Exel's crossed product for non-unital C*-algebras

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    We consider a family of dynamical systems (A,alpha,L) in which alpha is an endomorphism of a C*-algebra A and L is a transfer operator for \alpha. We extend Exel's construction of a crossed product to cover non-unital algebras A, and show that the C*-algebra of a locally finite graph can be realised as one of these crossed products. When A is commutative, we find criteria for the simplicity of the crossed product, and analyse the ideal structure of the crossed product.Comment: 22 page

    Politically engaged artistic practice: Strategies and tactics

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    This paper explores political forms of artistic practice operating within Tate Exchange broadly and within the authors’ creative practice specifically. It identifies the tensions and obstacles inherent to socially engaged artistic practice and forms of expertise, and proposes a method of practice that is grounded in prefiguration and solidarity

    Strong Shift Equivalence of C∗C^*-correspondences

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    We define a notion of strong shift equivalence for C∗C^*-correspondences and show that strong shift equivalent C∗C^*-correspondences have strongly Morita equivalent Cuntz-Pimsner algebras. Our analysis extends the fact that strong shift equivalent square matrices with non-negative integer entries give stably isomorphic Cuntz-Krieger algebras.Comment: 26 pages. Final version to appear in Israel Journal of Mathematic
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