期刊文献+

Banach代数交叉积间的同构

Isomorphisms Between Banach Algebra Crossed Products
下载PDF
导出
摘要 借助于Banach代数交叉积的万有性质,我们证明了等变同构的Banach代数动力系统相对应的Banach代数交叉积是同构的. The isomorphism between two Banach algebra crossed products associated with the equivariantly isomorphic Banach algebra dynamical systems was proved based on the universal property of Banach algebra crossed products.
作者 黄利忠 Huang Lizhong(Institute of Quantum Information Science,Shanxi Datong University,Datong Shanxi 03700)
出处 《首都师范大学学报(自然科学版)》 2018年第4期27-30,共4页 Journal of Capital Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(11301312) 山西大同大学博士科研项目(2015-B-09)
关键词 Banach代数动力系统 交叉积 等变同构 Banach algebra dynamical systems crossed products equivariantly isomorphism.
  • 相关文献

参考文献2

二级参考文献15

  • 1Takesaki, M.: Duality for crossed products and the structure of von Neumann algebras of type Ⅲ. Acta Math., 131,249-310 (1973).
  • 2Takai, H.: On a duality for crossed products of C^*-algebras. J. Funct. Anal., 19, 25-39 (1975).
  • 3Vallin, J. M.: C^*-algbbres de Hopf et C^*-algbbres de Kac. Proc. London Math. soc., 50(3), 131-174 (1985).
  • 4Tomiyama, J.: Invitation to C^*-algebras and topological dynamics, World Scientific, Singapore, New Jersey,Hong Kong, 1987.
  • 5Baaj,S., Skandalis, G.: Unitaires multiplicatifs er dualite pour les produits croises de C^*-algebres. Ann.Sci. Ec. Norm. Sup., 26, 425-488 (1993).
  • 6Skandalis, G.: Operator algebras and duality, Proc. ICM-1990, vol 11, Math. Soc. Japan, Berlin, Heidelberg, New York, 997-1009, 1991.
  • 7wLance, E. C.: Hilbert C^*-modules, A toolkit for operator algebraists, Cambridge University Press, Cambridge, 1995.
  • 8Folland, Gerald B.: A course in abstract harmonic analysis, CRC Press, Boca Raton, Ann Arbor, London,Tokyo, 1995.
  • 9Zhang, X. X.: The description of Kac-system of multiplicative unitary operators, Science in China (Series A), 111(44), 1439-1445 (2001).
  • 10Woronowicz, S. L.: Compact matrix pseudogroups. Commun. Math. Phys., 111,613-665 (1987).

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部