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摘要
In the paper, we consider the question whether a unital full amalgamated free product of RFD (residually finite dimensional) C*-algebras is RFD again. One example shows that the answer to the general case is no. We give a necessary and sufficient condition such that a unital full amalgamated free product of RFD C*-algebras with amalgamation over a finite dimensional C*-algebra is RFD. Applying this result, we conclude that a unital full free product of two same RFD C*-algebras with amalgamation over a finite-dimensional C*-algebra is always RFD.
- 出版日期2012
- 单位华东理工大学
