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arXiv · 1804.03455

Monic representations of finite higher-rank graphs

Carla Farsi·Elizabeth Gillaspy·Palle Jorgensen·Sooran Kang·Judith Packer
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Abstract

In this paper we define the notion of monic representation for the $C^*$-algebras of finite higher-rank graphs with no sources, and undertake a comprehensive study of them. Monic representations are the representations that, when restricted to the commutative $C^*$-algebra of the continuous functions on the infinite path space, admit a cyclic vector. We link monic representations to the $\Lambda$-semibranching representations previously studied by Farsi, Gillaspy, Kang, and Packer, and also provide a universal representation model for nonnegative monic representations.

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BibTeXRIS

Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen, Sooran Kang, Judith Packer. 2018-04-10. Monic representations of finite higher-rank graphs. https://doi.org/10.1017/etds.2018.79

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