Products of synchronous games

IF 0.7 3区数学 Q2 MATHEMATICS Studia Mathematica Pub Date : 2021-09-24 DOI:10.4064/sm221201-19-4

Laura Manvcinska, V. Paulsen, I. Todorov, A. Winter

引用次数: 2

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.

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同步游戏产品

我们证明了两个同步对策乘积的*-代数是相应*-代数的张量乘积。我们证明了乘积对策有一个完美的C*-策略，当且仅当每个单独的对策都有，并且在这种情况下，乘积对策的C*-代数与单独的C*代数的最大C*-张量积是*-同构的。我们提供了同步对策的例子，其同步值是严格超乘的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.

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