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The spread of regular spaces

✍ Scribed by Judy Roitman

Publisher
Elsevier Science
Year
1978
Weight
925 KB
Volume
8
Category
Article
ISSN
0016-660X

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✦ Synopsis

Under either CH or not-SH, there exists a O-dimensional Hausdorff space of countable spread which is not the union of a hereditarily separable and a hereditarily LindeMf space. Under not-SH + 2" > &, there exists a O-dimensional Hausdorff space of spread discrete subspace of cardinality N,,.

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In this paper, we study the structure spaces of regular C\*-algebras. A complex C\*algebra A is regular if the mapping ~ between the set of regular C\*-seminorms on A and the set of primitive ideals of A is onto. We discuss the case of regular C\*-algebras where the structure spaces are not T1. (~)