<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In 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 <italic>C</italic><sup>*</sup>-algebras.</p>
</abstract>

In 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.

Ramsey actions and Gelfand duality

Department of Decision Sciences, School of Economic Sciences

Pure Mathematics and Applications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Ramsey actions and Gelfand duality"}

In this paper we discuss structural Ramsey theory and how it relates to the understanding of extremely amenable groups with an emphasis on the measure...

Ramsey actions and Gelfand duality

Published Online: Nov 07, 2022

Page range: 13 - 27

Received: Nov 01, 2021

DOI: https://doi.org/10.2478/puma-2022-0020

Keywords
subrecursive hierarchy, partially ordered sets (posets), structural Ramsey theory

© 2022 Willem L. Fouché, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Ramsey actions and Gelfand duality

Published Online: Nov 07, 2022

Page range: 13 - 27

Received: Nov 01, 2021

DOI: https://doi.org/10.2478/puma-2022-0020

Keywordssubrecursive hierarchy, partially ordered sets (posets), structural Ramsey theory

© 2022 Willem L. Fouché, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
subrecursive hierarchy, partially ordered sets (posets), structural Ramsey theory