A Solution of the Matrix Problem for Rickart C*‐Algebras

Pere Ara; Dmitry Goldstein

doi:10.1002/mana.19931640118

A Solution of the Matrix Problem for Rickart C*‐Algebras

Pere Ara, Dmitry Goldstein

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

12 Citations (Scopus)

Abstract

We prove that matrix algebras over a Rickart C*‐algebra are also Rickart C*‐algebras. As a consequence of this, every Rickart C*‐algebra is an UMF‐algebra and satisfies polar decomposition. Copyright © 1993 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

Original language	English
Pages (from-to)	259-270
Journal	Mathematische Nachrichten
Volume	164
Issue number	1
DOIs	https://doi.org/10.1002/mana.19931640118
Publication status	Published - 1 Jan 1993

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title = "A Solution of the Matrix Problem for Rickart C*‐Algebras",

abstract = "We prove that matrix algebras over a Rickart C*‐algebra are also Rickart C*‐algebras. As a consequence of this, every Rickart C*‐algebra is an UMF‐algebra and satisfies polar decomposition. Copyright {\textcopyright} 1993 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim",

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AB - We prove that matrix algebras over a Rickart C*‐algebra are also Rickart C*‐algebras. As a consequence of this, every Rickart C*‐algebra is an UMF‐algebra and satisfies polar decomposition. Copyright © 1993 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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