Bulletin of the American Mathematical Society

MathSciNet review: 1567497
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Book Information:

Author: K. R. Goodearl
Title: Notes on real and complex $C^*$-algebras
Additional book information: Shiva Mathematics Series, Shiva Publishing, Ltd., Cambridge, Mass., 1982, 211 pp., $28.95. ISBN 0-9068-1216-X.

Ola Bratteli, Inductive limits of finite dimensional $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 171 (1972), 195–234. MR 312282, DOI 10.1090/S0002-9947-1972-0312282-2

Jacques Dixmier, $C^*$-algebras, North-Holland Mathematical Library, Vol. 15, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Translated from the French by Francis Jellett. MR 0458185

Edward G. Effros, Dimensions and $C^{\ast }$-algebras, CBMS Regional Conference Series in Mathematics, vol. 46, Conference Board of the Mathematical Sciences, Washington, D.C., 1981. MR 623762

Edward G. Effros, David E. Handelman, and Chao Liang Shen, Dimension groups and their affine representations, Amer. J. Math. 102 (1980), no. 2, 385–407. MR 564479, DOI 10.2307/2374244

George A. Elliott, On the classification of inductive limits of sequences of semisimple finite-dimensional algebras, J. Algebra 38 (1976), no. 1, 29–44. MR 397420, DOI 10.1016/0021-8693(76)90242-8

Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. I, Pure and Applied Mathematics, vol. 100, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. Elementary theory. MR 719020

Gert K. Pedersen, $C^{\ast }$-algebras and their automorphism groups, London Mathematical Society Monographs, vol. 14, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1979. MR 548006

Masamichi Takesaki, Theory of operator algebras. I, Springer-Verlag, New York-Heidelberg, 1979. MR 548728

1.

O. Bratteli, Inductive limits of finite dimensional C*-algebras. Trans. Amer. Math. Soc. 171 (1972), 195-234. MR 0312282

2.

J. Dixmier, C*-algebras, Amsterdam, North-Holland, 1977. MR 458185

3.

E. G. Effros, Dimension and C*-algebras, CBMS Regional Conf. Ser. in Math., vol. 46, Amer. Math. Soc., Providence, R. I., 1981. MR 623762

4.

E. G. Effros, D. E. Handelman and C.-L. Shen, Dimension groups and their affine representations, Amer. J. Math. 102 (1980), 385-407. MR 564479

5.

G. A. Elliott, On the classification of inductive limits of sequences of semi-simple finite dimensional algebras, J. Algebra 38 (1976), 29-44. MR 397420

6.

R. V. Kadison and J. R. Ringrose, Fundamentals of the theory of operatory algebras, Vol. I, Elementary theory, Academic Press, London, 1983. MR 719020

7.

G. K. Pedersen, C*-algebras and their automorphism groups, Academic Press, London, 1979. MR 548006

8.

M. Takesaki, Theory of operator algebras. I, New York, Springer-Verlag, 1979. MR 548728