Aspects of $p$-adic operator algebras
Operator Algebras
2019-07-17 v2 Functional Analysis
Abstract
In this article, we propose a -adic analogue of complex Hilbert space and consider generalizations of some well-known theorems from functional analysis and the basic study of operators on Hilbert spaces. We compute the -theory of the analogue of the algebra of compact operators and the algebra of all bounded operators. This article contains a survey on results from the thesis of the first author.
Cite
@article{arxiv.1904.12723,
title = {Aspects of $p$-adic operator algebras},
author = {Anton Claußnitzer and Andreas Thom},
journal= {arXiv preprint arXiv:1904.12723},
year = {2019}
}