| Twisted Semigroup Crossed Products and Twisted Toeplitz Algebras of Ordered Groups |
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| 作者姓名： | Sriwulan ADJI Rizky ROSJANUARDI |
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| 作者单位： | [1]School of Mathematical Science, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia [2]Department of Mathematics, Universitas Pendidikan Indonesia, Jl. Dr. Setia Budhi 229, Bandung 40154, Indonesia |
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| 摘 要： | Let г^＋ be the positive cone of a totally ordered abelian group г, and σa cocycle in г. We study the twisted crossed products by actions of г＋ as endomorphisms of C^＊-algebras, and use this to generalize the theorem of Ji.
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| 关 键 词： | 投射 等容 共变式 数学 |
| 收稿时间： | 30 April 2005 |
| 修稿时间： | 2005-04-30 |
Twisted Semigroup Crossed Products and Twisted Toeplitz Algebras of Ordered Groups |
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| Sriwulan ADJI Rizky ROSJANUARDI.Twisted Semigroup Crossed Products and Twisted Toeplitz Algebras of Ordered Groups[J].Acta Mathematica Sinica,2007,23(9):1639-1648. |
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| Authors: | Sriwulan Adji Rizky Rosjanuardi |
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| Institution: | (1) School of Mathematical Science, Universiti Sains Malaysia, 11800 USM Penang, Malaysia;(2) Department of Mathematics, Universitas Pendidikan Indonesia, Jl. Dr. Setia Budhi 229, Bandung 40154, Indonesia |
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| Abstract: | Let Γ+ be the positive cone of a totally ordered abelian group Γ, and σ a cocycle in Γ. We study the twisted crossed products by actions of Γ+ as endomorphisms of C*-algebras, and use this to generalize the theorem of Ji.
This research is supported by the Academy of Sciences of Malaysia through SAGA Project and the Indonesian Research Fund for
Doctorate Sandwich Programs (URGE)
Some results in this paper are taken from the second author’s PhD thesis (Institut Teknologi Bandung, 2005) |
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| Keywords: | projective isometric representation covariant representation semigroup dynamical system twisted semigroup crossed product twisted Toeplitz algebra |
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