Aspects of p-adic operator algebras
In this article, we propose a p-adic analog 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 analog of the algebra of compact operators and the algebra of all...
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| Weitere Beteiligte: | |
| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2020 |
| Publikation in MIAMI: | 24.08.2020 |
| Datum der letzten Änderung: | 05.01.2021 |
| Quelle: | Münster Journal of Mathematics, 13 (2020), S. 425-444 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Förderung: | This research was supported in part by the ERC Consolidator Grant No. 681207. |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-90169651373 |
| Weitere Identifikatoren: | DOI: 10.17879/90169651061 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-90169651373 |
| Onlinezugriff: | mjm_2020_13_425-444.pdf |
In this article, we propose a p-adic analog 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 analog 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.