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On enveloping $C^*$-algebras of $JB$-algebras
Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 3, pp. 3-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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F. N. Arzikulov. On enveloping $C^*$-algebras of $JB$-algebras. Vladikavkazskij matematičeskij žurnal, Tome 8 (2006) no. 3, pp. 3-15. http://geodesic.mathdoc.fr/item/VMJ_2006_8_3_a0/

[1] Arzikulov F. N., “Ob abstraktnykh $JW$-algebrakh”, Sib. mat. zhurn., 39:1 (1998), 20–27 | MR | Zbl

[2] Arzikulov F. N., “$AJW$-algebras of type I and their classification”, Siberian Adv. Math., 8:2 (1998), 30–48 | MR | Zbl

[3] Topping D. M., Jordan algebras of self-adjoint operators, Mem. Am. Math. Soc., 53, 1965, 48 pp. | MR

[4] Arzikulov F. N., “On an analog of the Peirce decomposition”, Sib. Math. J, 40:3 (1999), 413–419 | DOI | MR | Zbl

[5] Kusraev A. G., “Bulevoznachnyi analiz normirovannykh iordanovykh algebr”, Issledovaniya po funktsionalnomu analizu i ego prilozheniyam, Nauka, M., 2006, 50–124 | MR

[6] Li Bing-Ren, Real operator algebras, Institute of Mathematics, Academia Sinica Beijing 100080, China, 223 pp.

[7] Ayupov Sh. A., Klassifikatsiya i predstavlenie uporyadochennykh iordanovykh algebr, Fan, Tashkent, 1986, 122 pp. | MR

[8] Alfsen E. M., Shultz F. W., Stormer E. A., “Gelfand–Neumark theorem for Jordan algebras”, Adv. Math., 28:1 (1978), 11–56 | DOI | MR | Zbl

[9] Hanche-Olcen H., Störmer E., Jordan Operator Algebras, Pitman Publ. Inc., Boston etc., 1984, 183 pp. | MR

[10] Kusraev A. G., “O strukture $AJW$-algebr tipa $\mathrm{I}_2$”, Sib. mat. zhurn., 40:4 (1999), 905–917 | MR | Zbl

[11] Pedersen G. K., “On weak and monotone $\sigma$-closure of $C^*$-algebras”, Commun. Math. Phys., 1968/1969, no. 11, 221–226 | MR

[12] Ayupov S. A., “Extension of traces and type criterions for Jordan algebras of self-adjoint operators”, Math. Z., 181 (1982), 253–268 | DOI | MR | Zbl