The Exponential Rank of Inductive Limit C*-Algebras.
Huaxin Lin, Guihua Gong (1992)
Mathematica Scandinavica
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Huaxin Lin, Guihua Gong (1992)
Mathematica Scandinavica
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Mikael Rordam, Ian F. Putnam (1988)
Mathematica Scandinavica
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Bruce Blackadar, Ola Bratteli (1992)
Mathematische Annalen
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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....
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.
Michael Pannenberg (1990)
Mathematica Scandinavica
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Jeremy Lovejoy, Robert Osburn (2010)
Acta Arithmetica
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Marius Dadarlat (1995)
Journal für die reine und angewandte Mathematik
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N. Christopher Phillips (1991)
Mathematica Scandinavica
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Ciatti, Paolo (2000)
Journal of Lie Theory
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Robert J. Archbold, Eberhard Kaniuth (2006)
Studia Mathematica
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Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.
Guihua Gong (1997)
Mathematica Scandinavica
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