Speaker: Georgios Baziotis, University of Delaware

Date: Nov 18, 2025

Abstract: Given a non-local game G, the n-fold repetition of G can be viewed as a game over the n-th cartesian product of the question and answer sets. When considering the infinite repetition of G, Cantor spaces arise naturally as infinite cartesian products of finite sets. In this talk, we introduce no-signalling correlations and subclasses thereof over a quadruple of Cantor spaces and describe them as states on tensor products of inductive limits of operator systems. En route, we establish a correspondence between no-signalling (resp. quantum approximate, quantum commuting) Cantor correlations and inductive sequences of no-signalling (resp. quantum approximate, quantum commuting) correlations acting on finite components. We introduce Cantor games and canonically associate one to a sequence of finite input/output games. As an application, we show that the numerical sequence of values of the games converges to the value of the Cantor game. This is joint work with Alexandros Chatzinikolaou, Ivan Todorov and Lyudmila Turowska.