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Kaplansky, Irving

The structure of certain operator algebras. (English) Zbl 0042.34901

Trans. Am. Math. Soc. 70, 219-255 (1951).
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Cited in 97 Documents

Keywords:

functional analysis
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\textit{I. Kaplansky}, Trans. Am. Math. Soc. 70, 219--255 (1951; Zbl 0042.34901)
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References:

[1] A. Adrian Albert, Structure of algebras, Revised printing. American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961.
[2] Richard F. Arens and Irving Kaplansky, Topological representation of algebras, Trans. Amer. Math. Soc. 63 (1948), 457 – 481. · Zbl 0032.00702
[3] N. Bourbaki, Élements de mathématique, vol. 3, Topologie générale, Actualités Scientifiques et Industrielles, no. 1045, Paris, 1948. · Zbl 0031.05502
[4] I. Gelfand and M. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S. 12(54) (1943), 197 – 213 (English, with Russian summary). · Zbl 0060.27006
[5] I. M. Gel\(^{\prime}\)fand and M. A. Naĭmark, Unitary representations of the Lorentz group, Izvestiya Akad. Nauk SSSR. Ser. Mat. 11 (1947), 411 – 504 (Russian). · Zbl 0037.15303
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[8] N. Jacobson, A topology for the set of primitive ideals in an arbitrary ring, Proc. Nat. Acad. Sci. U. S. A. 31 (1945), 333 – 338. · Zbl 0060.07402
[9] N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695 – 707. · Zbl 0060.07501
[10] Irving Kaplansky, Dual rings, Ann. of Math. (2) 49 (1948), 689 – 701. · Zbl 0031.34401
[11] Irving Kaplansky, Groups with representations of bounded degree, Canadian J. Math. 1 (1949), 105 – 112. · Zbl 0037.01603
[12] Irving Kaplansky, Normed algebras, Duke Math. J. 16 (1949), 399 – 418. · Zbl 0033.18701
[13] Irving Kaplansky, Topological representation of algebras. II, Trans. Amer. Math. Soc. 68 (1950), 62 – 75. · Zbl 0035.30301
[14] F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116 – 229. · Zbl 0014.16101
[15] M. A. Naĭmark, Rings with involutions, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 5(27), 52 – 145 (Russian). · Zbl 0036.07701
[16] John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401 – 485. · Zbl 0034.06102
[17] D. A. Raikov, To the theory of normed rings with involution, C. R. (Doklady) Acad. Sci. URSS (N.S.) 54 (1946), 387 – 390. · Zbl 0060.27102
[18] C. E. Rickart, Banach algebras with an adjoint operation, Ann. of Math. (2) 47 (1946), 528 – 550. · Zbl 0060.27103
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[20] Hing Tong, On ideals of certain topologized rings of continuous mappings associated with topological spaces, Ann. of Math. (2) 50 (1949), 329 – 340. · Zbl 0032.41403
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