Seminario di Algebre di Operatori
Place and time: SBAI Aula 1B1, ore 17:30
Speaker: Daniel Gonçalves
Title: Infinite alphabet edge shift spaces: an approach via (ultra) graphs and C*-algebras
Abstract: We start the talk with an overview of (one-sided) shift spaces over infinite alphabets. Then we explain the notion of ultragraphs, wich generalize directed graphs, and use this combinatorial objects to define a notion of (one-sided) edge shift spaces (which, in the finite case, coincides with the edge shift space of a graph). We motivate why these (ultra) graph shift spaces are the natural shifts to be considered in connection with C*-algebra theory. To end we describe Li-Yorke chaos in ultragraph shift spaces and show that these shifts behave similarly to edge-shifts over finite graphs.