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Monic representations of finite higher-rank graphs
- Authors
- Farsi, C.; Gillaspy, E.; Jorgensen, P.; Kang, S.; Packer, J.
- Issue Date
- May-2020
- Publisher
- Cambridge University Press
- Keywords
- monic representations; Lambda-semibranching function systems; Markov measures; projective systems
- Citation
- Ergodic Theory and Dynamical Systems, v.40, no.5, pp 1238 - 1267
- Pages
- 30
- Journal Title
- Ergodic Theory and Dynamical Systems
- Volume
- 40
- Number
- 5
- Start Page
- 1238
- End Page
- 1267
- ISSN
- 0143-3857
1469-4417
- Abstract
- In this paper, we define the notion of monic representation for the -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 -algebra of the continuous functions on the infinite path space, admit a cyclic vector. We link monic representations to the -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), 241-270) and also provide a universal representation model for non-negative monic representations. © Cambridge University Press, 2018.
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