Abstract
Given Banach algebras 𝔄1 and 𝔄2 with maximal ideal spaces ℳ 1 and ℳ 2, if 𝔄1 and 𝔄2 are isomorphic as algebras, then ℳ 1 and ℳ 2 are homeomorphic. It is thus to be expected that the topology of ℳ (𝔄) is reflected in the algebraic structure of 𝔄, for an arbitrary Banach algebra 𝔄.
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© 1976 Springer Science+Business Media New York
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Wermer, J. (1976). The First Cohomology Group of a Maximal Ideal Space. In: Banach Algebras and Several Complex Variables. Graduate Texts in Mathematics, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3878-0_15
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DOI: https://doi.org/10.1007/978-1-4757-3878-0_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3880-3
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