Some remarks on the C^*-algebras associated with subshifts

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Recent developments around partial actions (2018, background): “ closed ∗-algebra of bounded operators on ℓ2(X) generated by {ug : g∈ F}.It follows by [118, Proposition 6.1] that MXcoincides with the C∗-algebra deﬁned by K. Matsumoto in [231, Lemma 4.1] (see also [75]), and we call MX the Matsumoto algebra associated to X. Denoting by λthe left regular represent”
Subproduct systems (2009, background): “The representation theory of Matsumoto’s subshift C-algebras In [27] Kengo Matsumoto introduced a class of C-algebras that arise from symbolic dynamical systems called “subshifts” (we note that in the later paper [16] Carlsen and Matsumoto suggest another way of associating a C-algebra with a subshi”
Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras (2007, unknown): “s diagonal algebra DA, that are studied in Section 7. The results of this paper will be generalized to more general subshifts and the C∗-algebras associated with the subshifts considered in [Ma1] (cf.[CM]) and [Ma3] in a forthcoming paper [Ma4]. Throughout the paper, we denote by Z+ and Nthe set of ”