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Semi-Perfect C*-Algebras and the Stone-Weierstrass Problem

✍ Scribed by Batty, C. J. K.


Book ID
120095650
Publisher
Oxford University Press
Year
1986
Tongue
English
Weight
325 KB
Volume
s2-34
Category
Article
ISSN
0024-6107

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## 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.