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On the independence of local algebras II

✍ Scribed by Kruszyński, PaweŁ; Napiórkowski, Kazimierz

Book ID: 122674964
Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 230 KB
Volume: 4
Category: Article
ISSN: 0034-4877
DOI: 10.1016/0034-4877(73)90005-0

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Let A be a separable C\*-algebra and let M loc (A) be the local multiplier algebra of A. It is shown that every minimal closed prime ideal of M loc (A) is primitive. If Prim(A) has a dense G $ consisting of closed points (for instance, if Prim(A) is a T 1 -space) and A is unital, then M loc (A) is i