On finitely generated and projective extensions of Banach algebras

Verdera, Joan

doi:10.1090/S0002-9939-1980-0587938-7

On finitely generated and projective extensions of Banach algebras
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by Joan Verdera

Proc. Amer. Math. Soc. 80 (1980), 614-620

DOI: https://doi.org/10.1090/S0002-9939-1980-0587938-7

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Abstract:

We show that a finitely generated projective extension B of a commutative complex unitary Banach algebra A induces an open mapping $\pi$ between the carrier spaces. We next prove that if $\pi$ is a local homeomorphism then B contains an inertial subalgebra. Finally we present a necessary and sufficient condition for B to be uniform if A is.

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