A class of simple tracially AF -algebras.
Livingston, N.E. (2002)
International Journal of Mathematics and Mathematical Sciences
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Livingston, N.E. (2002)
International Journal of Mathematics and Mathematical Sciences
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Zerr, Ryan J. (2006)
International Journal of Mathematics and Mathematical Sciences
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Zerr, Ryan J. (2005)
International Journal of Mathematics and Mathematical Sciences
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Werner, Annette (2001)
Documenta Mathematica
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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.
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....
Ionin, Yury J. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Taras Banakh, Vesko Valov (2010)
Open Mathematics
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A metric space M is said to have the fibered approximation property in dimension n (briefly, M ∈ FAP(n)) if for any ɛ > 0, m ≥ 0 and any map g: m × n → M there exists a map g′: m × n → M such that g′ is ɛ-homotopic to g and dim g′ (z × n) ≤ n for all z ∈ m. The class of spaces having the FAP(n)-property is investigated in this paper. The main theorems are applied to obtain generalizations of some results due to Uspenskij [11] and Tuncali-Valov [10].
Ibrahim Assem, Christophe Reutenauer (2012)
Annales mathématiques Blaise Pascal
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In the cases and , we describe the seeds obtained by sequences of mutations from an initial seed. In the case, we deduce a linear representation of the group of mutations which contains as matrix entries all cluster variables obtained after an arbitrary sequence of mutations (this sequence is an element of the group). Nontransjective variables correspond to certain subgroups of finite index. A noncommutative rational series is constructed, which contains all this information. ...
Nori, M.V., Srinivas, V. (2010)
Documenta Mathematica
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