Homotopy Equivalence of Hilbert $C$*-modules

  •  Gholamreza Abbaspour Tabadkan    
  •  Hessam Hosseinnezhad    


In this paper we introduce the concept of homotopy equivalence for Hilbert $C$*-modules and investigate some properties of this equivalence relation. We then
present the homotopy equivalence in the context of Fredholm operators on Hilbert $C$*-modules and classify these operators in terms of their index.

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