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Creators/Authors contains: "Packer, Judith"

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  1. ; ; ; ; (, Ergodic Theory and Dynamical Systems)
    In this paper, we define the notion of monic representation for the $$C^{\ast }$$ -algebras of finite higher-rank graphs with no sources, and we undertake a comprehensive study of them. Monic representations are the representations that, when restricted to the commutative $$C^{\ast }$$ -algebra of the continuous functions on the infinite path space, admit a cyclic vector. We link monic representations to the $$\unicode[STIX]{x1D6EC}$$ -semibranching representations previously studied by Farsi, Gillaspy, Kang and Packer (Separable representations, KMS states, and wavelets for higher-rank graphs. J. Math. Anal. Appl.   434  (2015), 241ā€“270) and also provide a universal representation model for non-negative monic representations. 
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  2. ; ; ; ; (, Journal of Mathematical Analysis and Applications)
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  3. ; ; ; ; (, Integral Equations and Operator Theory)
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