AF代数中子代数间等距代数同构的扩张

Extension of Isometrically Algebraic Isomorphism Between Two Subalgebras of AF Algebras

本文证明了具有二次交换子性质的ＡＦ代数中的子代数间的等距代数同构可以扩张成其包络Ｃ＊代数的＊同构．由此肯定地回答了［４］中２．１２提出的问题．

In this paper, we prove that the isometrically algebraic isomorphism between two subalgebras of AF algebras with property of double commutant can be extended to an * isomorphism between their enveloping C* algebras. Consequently, the problem raised from [4] Remark2.12 can be solved affirmatively.