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C∗-algebras without idempotents

✍ Scribed by Joel M Cohen

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
330 KB
Volume
33
Category
Article
ISSN
0022-1236

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📜 SIMILAR VOLUMES

Operator Algebras of Idempotents
Operator Algebras of Idempotents
✍ Vern I. Paulsen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We introduce the concept of a matricial Schur ideal, which serves as a dual object for operator algebras generated by a finite set of idempotents. Using matricial Schur ideals and some factorization theorems for tensor products of operator algebras, we are able to obtain matrix-valued interpolation

OnC*-Algebras Generated by Idempotents
OnC*-Algebras Generated by Idempotents
✍ Naum Krupnik; Steffen Roch; Bernd Silbermann 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 693 KB

The topic of the present paper is concrete Banach and C\*-algebras which are generated by a finite number of idempotents. Our first result is that, for each finitely generated Banach algebra A, there is a number n 0 so that the algebra A n\_n of all n\_n matrices with entries in A is generated by th