关于连续迹C＊—代数间映射的谱

The Mapping Spectrum Between C*-Algebras of Continuous Trace

本文引进了连续迹C*-代数间映射的谱,并证明了其是C*-代数谱空间的 闭子集进而给出了刻划.同时,我们得到了诸如下半连续性等类似于形如C(X)Mn C*-代数间映射的谱性质.

In this note, the mapping spectrum between C*-algebras of continuous trace is introduced, and proved to be a closed subset of the spectrum space of initial C*-algebras. Some properties similar to those of mappings between C*-algebras of the form C(X) Mn, such as lower semi-continuity, have been obtained.