论文标题

局部基质代数的光谱

Spectra of locally matrix algebras

论文作者

Bezushchak, Oksana

论文摘要

我们描述了局部矩阵代数的关联谱(不一定是Unitital和不一定是可计数的)。我们确定局部基质代数的所有可能光谱,并提供新的dixmier-baranov定理证明。作为我们对光谱的描述的应用,我们确定局部基质代数的嵌入。

We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier-Baranov Theorem. As an application of our description of spectra we determine embeddings of locally matrix algebras.

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