Data evento: 
Lunedì, 25 Giugno, 2018 - 17:30 to 19:00

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.