Aspects of p-adic operator algebras

2019/04/29 by Claußnitzer, Anton, Thom, Andreas · 1 citation
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1904.12723

Abstract

In this article, we propose a p-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 K-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.

Cited by

• Operator algebras over the p-adic integers -- II

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