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N-homogeneousC*-algebras generated by idempotents

✍ Scribed by M. V. Shchukin

Book ID
111503604
Publisher
Allerton Press, Inc.
Year
2011
Tongue
English
Weight
538 KB
Volume
55
Category
Article
ISSN
1066-369X

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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

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This paper is concerned with algebras generated by two idempotents P and Q satisfying (PQ ) m = (QP) m and (PQ ) m-1 = (QP) m-1 . The main result is the classification of all these algebras, implying that for each m β‰₯ 2 there exist exactly eight nonisomorphic copies. As an application, it is shown t