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K-theory for rickart C*-algebras

✍ Scribed by Pere Ara

Publisher
Springer
Year
1991
Tongue
English
Weight
567 KB
Volume
5
Category
Article
ISSN
0920-3036

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πŸ“œ SIMILAR VOLUMES

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This paper is intended as a sequel to "Finite Rickart C\* algebras and their properties" (Studies in Analysis, Adu. in Math. 4 (1980), 171-19.5), referred to throughout as I. The referencing here is exactly the same as that of I, and the sections are numbered as a continuation of I. In I, for every

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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.

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## Abstract To each irreducible infinite dimensional representation \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$(\pi ,\mathcal {H})$\end{document} of a __C__\*‐algebra \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {A}$\end{doc