Abstract: Given an alphabet, which can be infinite, we consider subshifts defined by a set of forbidden words as a combinatorial object and define algebras associated with them. When the alphabet is finite, these include Carlsen's C*-algebras associated with subshifts. In this talk, I will explain how one naturally obtains a partial action from a subshift and how to use it to define the subshift algebras. As with graphs, even though we start with a combinatorial object, certain topological spaces arise from these algebras, one of them being the Ott-Tomforde-Willis (OTW) subshift. I will show how these C*-algebras are related to the conjugacy of Ott-Tomforde-Willis subshifts. At the end, I will briefly talk about the K-theory of the subshift C*-algebras. (Joint work with G. Boava, D. Gonçalves and D. van Wyk.) Note: This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006) The Operator Algebra Seminar schedule is here: https://sites.google.com/view/oastorvergata/home-page