Quotients of Local Banach Algebras are Local Banach Algebras

  • Lothar M. Schmitt

    Universität des Saarlandes, Saarbrücken, Germany

Abstract

We show that quotients of local Banach algebras are local Banach algebras. This solves a problem posed by B. Blackadar in his book on K-Theory [BLA1]. Furthermore our techniques allow to prove additional density Theorems for the K-Theory of normed algebras stable under inverses and logarithms.

Cite this article

Lothar M. Schmitt, Quotients of Local Banach Algebras are Local Banach Algebras. Publ. Res. Inst. Math. Sci. 27 (1991), no. 6, pp. 837–843

DOI 10.2977/PRIMS/1195169002