Products of synchronous games
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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.
Original language | English |
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Journal | Studia Mathematica |
Volume | 272 |
Issue number | 3 |
Pages (from-to) | 299-317 |
ISSN | 0039-3223 |
DOIs | |
Publication status | Published - 2023 |
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