ON CERTAIN p-ADIC BANACH LIMITS OF p-ADIC TRIANGULAR MATRIX ALGEBRAS

R.L. Baker

doi:10.12732/ijpam.v85i3.1

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ON CERTAIN p-ADIC BANACH LIMITS OF p-ADIC TRIANGULAR MATRIX ALGEBRAS

Journal article

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ON CERTAIN p-ADIC BANACH LIMITS OF p-ADIC TRIANGULAR MATRIX ALGEBRAS

R.L. Baker

International journal of pure and applied mathematics : IJPAM, Vol.85(3), pp.435-455

06/13/2013

DOI: 10.12732/ijpam.v85i3.1

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Abstract

In this paper we investigate the class of p-adic triangular UHF (TUHF) Banach algebras. A p-adic TUHF Banach algebra is any unital p-adic Banach algebra τ of the form τ = ∪τn, where (τn) is an increasing sequence of p-adic Banach subalgebras of τ such that each Tn contains the identity of τ and is isomorphic as an Ωp-algebra to τpn(Ωp) for some pn, where Tpn(Ωp) is the algebra of upper triangular pn×pn matrices over the p-adic field Ωp. The main result is that the supernatural number associated to a p-adic TUHF Banach algebra is an invariant of the algebra, provided that the algebra satisfies certain local dimensionality conditions. © 2013 Academic Publications, Ltd.

Details

Title: Subtitle: ON CERTAIN p-ADIC BANACH LIMITS OF p-ADIC TRIANGULAR MATRIX ALGEBRAS
Creators: R.L. Baker
Resource Type: Journal article
Publication Details: International journal of pure and applied mathematics : IJPAM, Vol.85(3), pp.435-455
DOI: 10.12732/ijpam.v85i3.1
ISSN: 1311-8080
eISSN: 1314-3395
Language: English
Date published: 06/13/2013
Academic Unit: Mathematics
Record Identifier: 9984240875202771

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