半广群C＊-代数的一个同构问题

An Isomorphism of Semigroupoid C＊-algebras

半广群是范畴的推广,半广群C*-代数不仅包括Cuntz-Krieger代数,而且还包括图C*-代数、高阶图C*-代数等.对于给定的半广群,利用半广群C*-代数的生成元,构造一个新的半广群,并证明2个半广群C*-代数同构.

Semigroupoids C＊-algebra is a generalization of a category,which include not only the C＊-algebras of Cuntz-Krieger,but also the higher-rank graph C＊-algebras.Given a semigroupoid,using the generators of Semigroupoid C＊-algebra,this paper constructs a new semigroupoid and proves that the two semigroupoid C＊-algebras are isomorphic.