Certain Properties of K0-monoids Preserved by Tracial Approximation
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 337-343

Voir la notice de l'article provenant de la source Cambridge University Press

We show that the following ${{K}_{0}}$ -monoid properties of ${{C}^{*}}$ -algebras in the class $\Omega $ are inherited by simple unital ${{C}^{*}}$ -algebras in the class $TA\Omega :$ (1) weak comparability, (2) strictly unperforated, (3) strictly cancellative.
DOI : 10.4153/CMB-2011-183-9
Mots-clés : 46L05, 46L80, 46L35, C*-algebra, tracial approximation, K0-monoid
Fan, Qingzhai. Certain Properties of K0-monoids Preserved by Tracial Approximation. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 337-343. doi: 10.4153/CMB-2011-183-9
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[1] [1] Blackadar, B., K-theory for operator algebra. Springer-Verlag, New York, 1986. Google Scholar

[2] [2] Elliott, G. A., On the classification of the inductive limits of sequences of semisimple finite dimensional algebras. J. Algebra 38(1976), 29–44. Google Scholar | DOI

[3] [3] Elliott, G. A., On the classification of C*-algebras of real rank zero. J. Reine Angew. Math. 443(1993), 179–219. Google Scholar | DOI

[4] [4] Elliott, G. A. and Gong, G., On the classification of C_-algebras of real rank zero, II. Ann. Math. 144(1996), 497–610. Google Scholar | DOI

[5] [5] Elliott, G. A. and Niu, Z., On tracial approximation. J. Funct. Anal. 25(2008), 396–440. Google Scholar | DOI

[6] [6] Fan, Q. and Fang, X., Stable rank one and real rank zero for crossed product by automorphisms with the tracial Rokhlin property. Chinese Ann. Math. (Series B) 30(2009), 179–186. Google Scholar | DOI

[7] [7] Fan, Q., Certain properties preserved by tracial approximation. Preprint. Google Scholar

[8] [8] Fan, Q., Classification of certain simple C_-algebras. J. Ramanujan Math. Soc. 26(2011), 1–7. Google Scholar

[9] [9] Fan, Q. and Fang, X., Non-simple tracial approximation. Houston J. Math., to appear. Google Scholar

[10] [10] Lin, H., The tracial topological rank of C_-algebras. Proc. London Math. Soc. 83(2001), 199–234. Google Scholar | DOI

[11] [11] Lin, H., An introduction to the classification of amenable C-algebras. World Sci. Publ., New Jersey–London–Singapore–Hong Kong, 2001. Google Scholar

[12] [12] Ortega, E., Perera, F., and Rordam, M., The Corona Factorization Property and refinement monoids. arxiv:0904.0541v1. Google Scholar

[13] [13] Wehrung, F., Injective positively ordered monoids I. J. Pure Appl. Algebra 83(1992), 43–82. Google Scholar | DOI

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