Derivations of certain operator algebras.
Li, Jiankui, Pendharkar, Hemant (2000)
International Journal of Mathematics and Mathematical Sciences
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Li, Jiankui, Pendharkar, Hemant (2000)
International Journal of Mathematics and Mathematical Sciences
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P. W. Ng (2009)
Studia Mathematica
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Let 𝓐 be a unital separable simple nuclear C*-algebra such that ℳ (𝓐 ⊗ 𝓚) has real rank zero. Suppose that ℂ is a separable simple liftable and purely large unital C*-subalgebra of ℳ (𝓐 ⊗ 𝓚)/ (𝓐 ⊗ 𝓚). Then the relative double commutant of ℂ in ℳ (𝓐 ⊗ 𝓚)/(𝓐 ⊗ 𝓚) is equal to ℂ.
Kenneth R. Goodearl (1992)
Publicacions Matemàtiques
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A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense....
Joiţa, Maria (2006)
Surveys in Mathematics and its Applications
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Livingston, N.E. (2002)
International Journal of Mathematics and Mathematical Sciences
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Marius Dadarlat, Terry A. Loring (1994)
Annales de l'institut Fourier
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G. Elliott extended the classification theory of -algebras to certain real rank zero inductive limits of subhomogeneous -algebras with one dimensional spectrum. We show that this class of -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the -group. Perturbation and lifting results are provided for certain subhomogeneous -algebras.
B. Blackadar, M. Dadarlat, M. Rordam (1991)
Mathematica Scandinavica
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Bruce Blackadar, Ola Bratteli (1992)
Mathematische Annalen
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Tristan Bice (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove a number of fundamental facts about the canonical order on projections in C*-algebras of real rank zero. Specifically, we show that this order is separative and that arbitrary countable collections have equivalent (in terms of their lower bounds) decreasing sequences. Under the further assumption that the order is countably downwards closed, we show how to characterize greatest lower bounds of finite collections of projections, and their existence, using the norm and spectrum...
Gwion Evans, D. (2008)
The New York Journal of Mathematics [electronic only]
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Marius Dadarlat (1995)
Journal für die reine und angewandte Mathematik
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George A. Elliott (1993)
Journal für die reine und angewandte Mathematik
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Nakazi, Takahiko, Osawa, Tomoko (2001)
International Journal of Mathematics and Mathematical Sciences
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