Quantum Semigroups from Synchronous Games
Operator Algebras
2019-05-22 v1 Quantum Algebra
Abstract
We show that the C*-algebras associated with synchronous games give rise to certain quantum families of maps between the input and output sets of the game. In particular situations (e.g. for graph endomorphism games) these quantum families have a natural quantum semigroup structure and if the condition of preservation of a natural state is added, they are in fact compact quantum groups.
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Cite
@article{arxiv.1903.12369,
title = {Quantum Semigroups from Synchronous Games},
author = {Piotr M. Sołtan},
journal= {arXiv preprint arXiv:1903.12369},
year = {2019}
}
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9 pages