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

✍ Scribed by Pere Ara; Dmitry Goldstein

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
636 KB
Volume
164
Category
Article
ISSN
0025-584X

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✦ Synopsis

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.

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