Derivations of 𝐴𝑊*-algebras

Deel, James C.

doi:10.1090/S0002-9939-1974-0343050-0

Derivations of $AW^{\ast }$-algebras
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by James C. Deel PDF

Proc. Amer. Math. Soc. 42 (1974), 85-95 Request permission

Abstract:

It is proved that every derivation on an $A{W^ \ast }$-algebra of type $\mathrm {II}_1$ with central trace is inner. The proof employs a result on the algebraic decomposition of such algebras which is of interest even in the ${W^ \ast }$ case.

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An algebraic reduction theory for

algebras

11

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