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An additivity formula for the strict global dimension of C(Ω)

✍ Scribed by Tabaldyev, Seytek

Book ID
121586242
Publisher
Walter de Gruyter GmbH
Year
2014
Tongue
English
Weight
942 KB
Volume
12
Category
Article
ISSN
2391-5455

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✦ Synopsis

Abstract

Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .

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