On Some Classes of Non-Archimedean Operator Algebras

TL;DR

This paper explores specific classes of operator algebras on non-Archimedean Banach spaces, introducing a novel non-Archimedean crossed product construction to expand the theoretical framework.

Contribution

It presents a new non-Archimedean crossed product construction, extending the theory of operator algebras in non-Archimedean settings.

Findings

Defined classes of non-Archimedean operator algebras

Proposed a non-Archimedean crossed product construction

Laid groundwork for further research in non-Archimedean operator theory

Abstract

We study some classes of algebras of operators on non-Archimedean Banach spaces. In particular, we propose a non-Archimedean version of the crossed product construction.