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Isomorphisms and derivations in C*-Algebras

✍ Scribed by Lee Jung-Rye; Shin Dong-Yun

Book ID: 108422462
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 196 KB
Volume: 31
Category: Article
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(11)60231-2

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We prove the following two improvements of a result of BECKER. (1) If A is a pro-C\*-algebra, then every derivation on A is approximately inner. (2) If A is a separable a-C\*-algebra, and ifevery C\* quotient of A has the property that every derivation on it is inner, then also every derivation on A