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The local multiplier algebra of a -algebra with finite dimensional irreducible representations

✍ Scribed by Gogić, Ilja


Book ID
121286124
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
386 KB
Volume
408
Category
Article
ISSN
0022-247X

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The Local Multiplier Algebra of a C*-Alg
✍ D.W.B. Somerset 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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