论文标题

在强大的cuntz-krieger代数上

On strong extension groups of Cuntz--Krieger algebras

论文作者

Matsumoto, Kengo

论文摘要

在本文中,我们研究了crieger代数的强大扩展组,并提出了计算这些组的公式。我们还检测到cuntz-krieger代数在强延伸组和弱扩展组中的toeplitz扩展的位置,以确保具有Toeplitz Extension位置的弱扩展组是Cuntz-Kuntz-Krieger Algebra与Transpsed Matsrix相关的同构的完全不变性。

In this paper, we study the strong extension groups of Cuntz--Krieger algebras, and present a formula to compute the groups. We also detect the position of the Toeplitz extension of a Cuntz--Krieger algebra in the strong extension group and in the weak extension group to see that the weak extension group with the position of the Toeplitz extension is a complete invariant of the isomorphism class of the Cuntz--Krieger algebra associated with its transposed matrix.

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