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Crossed Products of Pro-\(C^{*}\)-Algebras and Hilbert Pro-\(C^{*}\)-Modules

  • Maria JoiţaEmail author
Article
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Abstract

In this paper, we prove a universal property for the crossed product of a pro-\(C^{*}\)-algebra by an inverse limit action of a locally compact group. Also, we prove a universal property of the crossed product of a Hilbert (pro-) \(C^{*}\)-module by an (inverse limit) action of a locally compact group.

Keywords

Pro-\(C^{*}\)-algebras Hilbert pro-\(C^{*}\)-modules Crossed product 

Mathematics Subject Classification

Primary 46L05 46L08 
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Copyright information

© Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BucharestBucharestRomania
  2. 2.Department of MathematicsFaculty of Applied Sciences, University Politehnica of BucharestBucharestRomania

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