Products of synchronous games
Operator Algebras
2024-09-25 v1
Abstract
We show that the *-algebra of the product of two synchronous games is the tensor product of the corresponding *-algebras. We prove that the product game has a perfect C*-strategy if and only if each of the individual games does, and that in this case the C*-algebra of the product game is *-isomorphic to the maximal C*-tensor product of the individual C*-algebras. We provide examples of synchronous games whose synchronous values are strictly supermultiplicative.
Keywords
Cite
@article{arxiv.2109.12039,
title = {Products of synchronous games},
author = {Laura Mančinska and Vern I. Paulsen and Ivan G. Todorov and Andreas Winter},
journal= {arXiv preprint arXiv:2109.12039},
year = {2024}
}