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- W2077665871 abstract "By proving various equivalent versions of the generalized Weyl-von Neumann theorem, we investigate the structure of projections in the multiplier algebra of certain C*-algebra with real rank zero. For example, we prove that if and only if any two projections in are simultaneously quasidiagonal. In case is a purely infinite simple C*-algebra, if and only if any two projections in are simultaneously quasidiagonal. If is one of the Cuntz algebras, or one of finite factors or type III factors, then any two projections in are simultaneously quasidiagonal. On the other hand, if is one of the Bunce-Deddens algebras or one of the irrational rotation algebras of real rank zero, then there exist two projections in which are not simultaneously quasidiagonal." @default.
- W2077665871 created "2016-06-24" @default.
- W2077665871 creator A5079284289 @default.
- W2077665871 date "1992-04-01" @default.
- W2077665871 modified "2023-09-25" @default.
- W2077665871 title "C*-ALGEBRAS WITH REAL RANK ZERO AND THEIR CORONA AND MULTIPLIER ALGEBRAS PART IV" @default.
- W2077665871 doi "https://doi.org/10.1142/s0129167x92000102" @default.
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