The Local Multiplier Algebra of a C*-Alg
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D.W.B. Somerset
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Article
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2000
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Elsevier Science
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English
β 193 KB
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