Year: 2019
Type: article
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.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.5085118
Author: P. M. Sołtan
Institution: University of Warsaw
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Narodowe Centrum Nauki
Award: G1205521152
OpenAlex ID: W2934298435