Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
SQUARE ROOT CLOSED C*-ALGEBRAS
Hiroki MATUI, Masaru NAGISA, Munehiro YAMAMOTO
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Keywords: C*-algebra, K-theory, square root, AI-algebra, Goodearl algebra, purely infinite simple unital C*-algebra
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2008 Volume 62 Issue 1 Pages 107-122

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Abstract
We say that a C*-algebra A is approximately square root closed if any normal element in A can be approximated by a square of a normal element in A. We study when A is approximately square root closed, and have an affirmative answer for AI-algebras, Goodearltype algebras over the torus, purely infinite simple unital C*-algebras, etc.
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© 2008 by Faculty of Mathematics, Kyushu University
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