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Ramsey actions and Gelfand duality

Ramsey actions and Gelfand duality AbstractIn this paper we discuss structural Ramsey theory and how it relates to the understanding of extremely amenable groups with an emphasis on the measure theoretic nature of this problem. We discuss the problem within Blass-Ramsey actions on discrete spaces and and more general group actions on compact spaces and explore how we can look at these problems by looking at Gelfand duals of commutative C*-algebras. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

Ramsey actions and Gelfand duality

Fouché, Willem L.
Pure Mathematics and Applications , Volume 30 (3): 15 – Oct 1, 2022
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Publisher
de Gruyter
Copyright
© 2022 Willem L. Fouché, published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0020
Publisher site
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Abstract

AbstractIn this paper we discuss structural Ramsey theory and how it relates to the understanding of extremely amenable groups with an emphasis on the measure theoretic nature of this problem. We discuss the problem within Blass-Ramsey actions on discrete spaces and and more general group actions on compact spaces and explore how we can look at these problems by looking at Gelfand duals of commutative C*-algebras.

Journal

Pure Mathematics and Applications – de Gruyter

Published: Oct 1, 2022

Keywords: subrecursive hierarchy; partially ordered sets (posets); structural Ramsey theory; 03D20; 68Q17; 06A07; 05D10

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