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Reduced Crossed Products Associated with Banach Algebra Dynamical Systems

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Abstract

We define reduced crossed products associated with a Banach algebra dynamical system. If the group is amenable, we prove that the reduced crossed product and the crossed product are isometrically isomorphic.

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Authors and Affiliations

  1. Department of Mathematics, Shanxi Datong University, Datong, 037009, People’s Republic of China

    Lizhong Huang

  2. Department of Mathematics, Soochow University, Suzhou, 215006, People’s Republic of China

    Fangyan Lu

Authors
  1. Lizhong Huang
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  2. Fangyan Lu
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Correspondence to Fangyan Lu.

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Huang, L., Lu, F. Reduced Crossed Products Associated with Banach Algebra Dynamical Systems. Integr. Equ. Oper. Theory 84, 451–462 (2016). https://doi.org/10.1007/s00020-016-2282-5

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  • DOI: https://doi.org/10.1007/s00020-016-2282-5

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