Products of synchronous games

Research output: Contribution to journal › Journal article › Research › peer-review

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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

Harvard

Mančinska, L, Paulsen, VI, Todorov, IG & Winter, A 2023, 'Products of synchronous games', Studia Mathematica, vol. 272, no. 3, pp. 299-317. https://doi.org/10.4064/sm221201-19-4

APA

Mančinska, L., Paulsen, V. I., Todorov, I. G., & Winter, A. (2023). Products of synchronous games. Studia Mathematica, 272(3), 299-317. https://doi.org/10.4064/sm221201-19-4

Vancouver

Mančinska L, Paulsen VI, Todorov IG, Winter A. Products of synchronous games. Studia Mathematica. 2023;272(3):299-317. https://doi.org/10.4064/sm221201-19-4

Author

Mančinska, L. ; Paulsen, V. I. ; Todorov, I. G. ; Winter, A. / Products of synchronous games. In: Studia Mathematica. 2023 ; Vol. 272, No. 3. pp. 299-317.

Bibtex

@article{271ce84c74a244bab43eecfc292d4798,
title = "Products of synchronous games",
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.",
author = "L. Man{\v c}inska and Paulsen, {V. I.} and Todorov, {I. G.} and A. Winter",
year = "2023",
doi = "10.4064/sm221201-19-4",
language = "English",
volume = "272",
pages = "299--317",
journal = "Studia Mathematica",
issn = "0039-3223",
publisher = "Polska Akademia Nauk Instytut Matematyczny",
number = "3",

}

RIS

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