C*代数的离散交叉积

Discrete Crossed Product of C*-Algebras

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摘要离散群G与C*代数A的交叉积A×αG构成一个新的C*代数,两个离散群G与H构造的半直积G×H仍然构成一个群.交叉积(A×αG)×H与交叉积A×α(G×H)是同构的,因此在一定的条件下C*代数与离散群的交叉积满足结合律. Crossed product （.A×aG）× H is structured by .A×aG and H, and crossed product ,,A×a（G × H） is structured by C＊-algebras .,4 and semi-direct groups GxH. It shows that （.A×aG）xH and .A×a（G×H） is isomorphic, and they satisfy the associative low.

作者陈本菊向玉玲严倩

机构地区重庆师范大学数学科学学院

出处《宜宾学院学报》 2015年第12期95-97,共3页 Journal of Yibin University

关键词离散群 C＊代数交叉积结合律 discrete groups C＊-algebra crossed product associative law

分类号 O177.5 [理学—基础数学]

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1TURUMARU T. Crossed product of operator algebras[J]. Tohoku Math, 1958, 10(3):355-365. doi:lO.2748/tmjl1178244669.
2NAKAMURA M, TAKEDA Z. On some elementary properties of the crossed products of yon Neumann algebras[J]. Proc Japan Acad, 1958,34(8):489-494. doi:10.3792/pja/1195524559.
3NAKAMURA M, TAKEDA Z. A Galois theory for finite factors[J]. Proc Japan Acad, 1960, 36(5): 258-260. doi: 10.3792/pja/ 1195524026.
4SUZUKI N. Crossed product of rings of operator[J]. Tohoka Math, 1959,11(1): 113-124. doi:10.2748/tmj/1178244632.
5DOPLICHER S, KASTLER D, ROBINSON D. Covariane algebras in field theory and statistical mechanics[J].Comm Math Phys, 1966, 3(1):1-28.
6杨芳.关于离散群的半直积与von Neumann代数的交叉积[J].宜宾学院学报,2006,6(12):13-14. 被引量：1
7吴文明,袁巍.冯．诺依曼代数交叉积的一点注记[J].数学学报（中文版）,2008,51(4):803-808. 被引量：1

二级参考文献13

1Murray F. J., von Neumann J., On rings of operator, Ann. Math., 1936, 37: 116-229.
2von Neumann J., On rings of operator III, Ann. Math., 1940, 41: 94-161.
3Turumaru T., Crossed products of operator algebras, Tohoku Math. J., 1958, 10: 355-365.
4Nakamura M., Takeda Z., On some elementary properties of the crossed product of von Neumann algebras, Proc. Japan Acad., 1958, 34: 489-494.
5Connes A., A factor not anti-isomorphic to itself, Ann. Math., 1975, 101: 536-554.
6Takesaki M., Duality for crossed products and the structure of von Neumann algebras of type Ⅲ, Acta Math., 1973, 131: 249-310.
7Li B: R., Introduction to operator algebras, Singapore: World Sci., 1992.
8Stratila S., Modular theory in operator algebras, Tunbridge Wells: Abacus Press, 1981.
9Daele A. Van., Continuous crossed products and type Ⅲ von Neumann algebras, Cambridge: Camb. Univ. Press, 1978.
10von Neumann J., Zur algebras der funktiorationen und theorie der normalen operatorn, Math. Ann., 1929- 1930, 102: 370-427.

1赵建伟.2-上循环交叉积[J].中国科学：数学,2011,41(3):271-278.
2赵建伟.一列非同构的离散交叉积(英文)[J].数学杂志,2011,31(2):263-270.
3赵建伟.作用在n维欧氏空间R^n上的离散交叉积[J].数学学报（中文版）,2008,51(3):607-616.

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C*代数的离散交叉积

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