与迭代函数系相关的C* 代数-代数
C*-Algebras Associated with Iterated Function Systems
摘要：
本文回顾了Kajiwara和Watatani从迭代函数系统（IFS）构造C* 代数的工作。当IFS满足有限分支条件或开集条件时，建立了Kajiwara-Watatani代数到Cuntz代数的单同态，并给出了它的象的描述.最后，如果IFS允许一个左逆，我们证明了Kajiwara-Watatani代数同构于Exel的交叉积。
英文摘要：
We review Kajiwara and Watatani's construction of a C*-algebra from an iterated function system (IFS). If the IFS satisfies the finite branch condition or the open set condition, we build an injective homomorphism from Kajiwara-Watatani algebras to the Cuntz algebra, which can be thought as the algebra of the lifted system, and we give the description of its image. Finally, if the IFS admits a left inverse we show that the Kajiwara-Watatani algebra is isomorphic to an Exel's crossed product.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
