Products of synchronous games
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Products of synchronous games. / Mančinska, L.; Paulsen, V. I.; Todorov, I. G.; Winter, A.
In: Studia Mathematica, Vol. 272, No. 3, 2023, p. 299-317.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Products of synchronous games
AU - Mančinska, L.
AU - Paulsen, V. I.
AU - Todorov, I. G.
AU - Winter, A.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
U2 - 10.4064/sm221201-19-4
DO - 10.4064/sm221201-19-4
M3 - Journal article
VL - 272
SP - 299
EP - 317
JO - Studia Mathematica
JF - Studia Mathematica
SN - 0039-3223
IS - 3
ER -
ID: 371273976