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Splitting of the positive set of a C*-algebra

✍ Scribed by Gustavo Corach; Horacio Porta; Lázaro Recht

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
333 KB
Volume
2
Category
Article
ISSN
0019-3577

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📜 SIMILAR VOLUMES

Powers of positive elements in C*-algebr
Powers of positive elements in C*-algebras
✍ Hiroki Takamura 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 78 KB

In this paper, we show that Ogasawa's theorem has a proof in Bishop style constructive mathematics (BISH). In [25], we introduced the elementary constructive theory of C \* -algebras in BISH, but we did not discuss the powers of positive elements there.

The Local Multiplier Algebra of a C*-Alg
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✍ 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