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Extensions of σ-C* -algebras

  • Rachid El Harti
Part of the Operator Theory: Advances and Applications book series (OT, volume 181)

Abstract

Let A be a σ-C*-algebra. The bounded part b(A) of A introduced by Konrad Schmüdgen in [4] is a C*-algebra for some C*-norm. We shall show that if A is a split extension of a σ-C*-algebra B by a closed two-sided ideal I then b(A) will be a split extension of the C*-algebra b(B) by the closed two-sided b(I). A number of results concerning the bounded part of a σ-C*-algebra are established.

Keywords

C*-algebra split extension multipliers algebra spectrum 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • Rachid El Harti
    • 1
  1. 1.University Hassan I.SettatMorocco

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