Enveloping -algebras and derivations of Baer JB-algebras
Sh. A. AyupovDepartment of Algebra and Functional Analysis, National University of Uzbekistan, Tashkent, UzbekistanFarhodjon ArzikulovDepartment of Mathematics, Andizhan State University, Andizhan, Uzbekistan
ABI
Аннотация
In this paper, we prove that under certain conditions the enveloping *-algebra of an AJW-algebra is an AW*-algebra. Applying this, we prove that an extension of a derivation of a reversible JC-algebra A to a *-derivation of the C*-algebra generated by A is unique, and reversible AJW-algebras, satisfying certain conditions, have only inner derivations.
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