Các tính chất quy định trong chương trình phân loại C*-đại số có thể tách rời và có thể chấp nhận

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Elliott, George A., 1976, On the classification of inductive limits of sequences of semisimple finite-dimensional algebras, J. Algebra, 38, 29, 10.1016/0021-8693(76)90242-8

Elliott, George A., 1995, The classification problem for amenable 𝐶*-algebras, 922

Elliott, George A., 1993, On the classification of 𝐶*-algebras of real rank zero, J. Reine Angew. Math., 443, 179, 10.1515/crll.1993.443.179

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Elliott, George A., 1993, The structure of the irrational rotation 𝐶*-algebra, Ann. of Math. (2), 138, 477, 10.2307/2946553

Elliott, George A., 1996, On the classification of 𝐶*-algebras of real rank zero. II, Ann. of Math. (2), 144, 497, 10.2307/2118565

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Elliott, George A., 2007, On the classification of simple inductive limit 𝐶*-algebras. II. The isomorphism theorem, Invent. Math., 168, 249, 10.1007/s00222-006-0033-y

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Glimm, James G., 1960, On a certain class of operator algebras, Trans. Amer. Math. Soc., 95, 318, 10.2307/1993294

Gong, Guihua, 2002, On the classification of simple inductive limit 𝐶*-algebras. I. The reduction theorem, Doc. Math., 7, 255, 10.4171/dm/127

Gong, Guihua, 1997, On inductive limits of matrix algebras over higher-dimensional spaces. I, II, Math. Scand., 80, 41, 10.7146/math.scand.a-12611

Gong, Guihua, 2000, Obstructions to 𝒵-stability for unital simple 𝒞*-algebras, Canad. Math. Bull., 43, 418, 10.4153/CMB-2000-050-1

Haagerup, U., 1983, All nuclear 𝐶*-algebras are amenable, Invent. Math., 74, 305, 10.1007/BF01394319

Haagerup, Uffe, 1987, Connes’ bicentralizer problem and uniqueness of the injective factor of type 𝐼𝐼𝐼₁, Acta Math., 158, 95, 10.1007/BF02392257

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Jiang, Xinhui, 1999, On a simple unital projectionless 𝐶*-algebra, Amer. J. Math., 121, 359, 10.1353/ajm.1999.0012

kegi Kerr, D., and Giol, J.: Subshifts and perforation, preprint (2007).

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Kirchberg, Eberhard, 1977, 𝐶*-nuclearity implies CPAP, Math. Nachr., 76, 203, 10.1002/mana.19770760115

Kirchberg, Eberhard, 2000, Embedding of exact 𝐶*-algebras in the Cuntz algebra 𝒪₂, J. Reine Angew. Math., 525, 17, 10.1515/crll.2000.065

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Lance, E. C., 1995, Hilbert $C^*$-modules, 210, 10.1017/CBO9780511526206

Lin, Huaxin, 2001, The tracial topological rank of 𝐶*-algebras, Proc. London Math. Soc. (3), 83, 199, 10.1112/plms/83.1.199

Lin, Huaxin, 2004, Classification of simple 𝐶*-algebras of tracial topological rank zero, Duke Math. J., 125, 91, 10.1215/S0012-7094-04-12514-X

Li2 Lin, H.: Simple nuclear 𝐶*-algebras of tracial topological rank one, electronic preprint, arXiv:math/0401240 (2004).

lp Lin, Q., and Phillips, N. C.: Inductive limit decompositions of 𝐶*-dynamical systems, in preparation.

Manuilov, V. M., 2005, Hilbert $C^*$-modules, 226, 10.1090/mmono/226

ni1 Niu, Z.: A classification of certain tracially approximately subhomogeneous 𝐶*-algebras, Ph.D. thesis, University of Toronto, 2005.

Niu, Zhuang, 2004, On the classification of Tai algebras, C. R. Math. Acad. Sci. Soc. R. Can., 26, 18

Perera, Francesc, 1997, The structure of positive elements for 𝐶*-algebras with real rank zero, Internat. J. Math., 8, 383, 10.1142/S0129167X97000196

Perera, Francesc, 2007, Recasting the Elliott conjecture, Math. Ann., 338, 669, 10.1007/s00208-007-0093-3

Kirchberg, Eberhard, 2000, Embedding of exact 𝐶*-algebras in the Cuntz algebra 𝒪₂, J. Reine Angew. Math., 525, 17, 10.1515/crll.2000.065

ph Phillips, N. C.: Every simple higher dimensional noncommutative torus is an A𝕋-algebra, arXiv preprint math.OA/0609783 (2006).

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Rørdam, Mikael, 2003, A simple 𝐶*-algebra with a finite and an infinite projection, Acta Math., 191, 109, 10.1007/BF02392697

Rørdam, Mikael, 2004, The stable and the real rank of 𝒵-absorbing 𝒞*-algebras, Internat. J. Math., 15, 1065, 10.1142/S0129167X04002661

Rørdam, Mikael, 1997, Stability of 𝐶*-algebras is not a stable property, Doc. Math., 2, 375, 10.4171/dm/35

Rørdam, Mikael, 1992, On the structure of simple 𝐶*-algebras tensored with a UHF-algebra. II, J. Funct. Anal., 107, 255, 10.1016/0022-1236(92)90106-S

Thomsen, Klaus, 1992, Inductive limits of interval algebras: unitary orbits of positive elements, Math. Ann., 293, 47, 10.1007/BF01444702

Toms, Andrew, 2005, On the independence of 𝐾-theory and stable rank for simple 𝐶*-algebras, J. Reine Angew. Math., 578, 185, 10.1515/crll.2005.2005.578.185

To2 Toms, A. S.: On the classification problem for nuclear 𝐶*-algebras, to appear in Ann. of Math. (2).

To4 Toms, A. S.: An infinite family of non-isomorphic 𝐶*-algebras with identical 𝐾-theory, to appear in Trans. Amer. Math. Soc.

Toms, Andrew S., 2006, Cancellation does not imply stable rank one, Bull. London Math. Soc., 38, 1005, 10.1112/S0024609306018807

To6 Toms, A. S.: Stability in the Cuntz semigroup of a commutative 𝐶*-algebra, to appear in Proc. London Math. Soc.

Toms, Andrew S., 2007, Strongly self-absorbing 𝐶*-algebras, Trans. Amer. Math. Soc., 359, 3999, 10.1090/S0002-9947-07-04173-6

TW2 Toms, A. S., and Winter, W.: 𝒵-stable ASH algebras, to appear in Canad. J. Math.

TW3 Toms. A. S., and Winter, W.: The Elliott conjecture for Villadsen algebras of the first type, arXiv preprint math.OA/0611059 (2006).

Villadsen, Jesper, 1998, Simple 𝐶*-algebras with perforation, J. Funct. Anal., 154, 110, 10.1006/jfan.1997.3168

Villadsen, Jesper, 1999, On the stable rank of simple 𝐶*-algebras, J. Amer. Math. Soc., 12, 1091, 10.1090/S0894-0347-99-00314-8

Winter, Wilhelm, 2005, On topologically finite-dimensional simple 𝐶*-algebras, Math. Ann., 332, 843, 10.1007/s00208-005-0657-z

Winter, Wilhelm, 2007, Simple 𝐶*-algebras with locally finite decomposition rank, J. Funct. Anal., 243, 394, 10.1016/j.jfa.2006.11.001