标题： 相对超图代数和无限区间映射 显示英文标题

标题： Relative ultragraph algebras and infinite interval maps

摘要： 在本文中，我们引入了相对超图代数的概念，并将经典的表示可注入性准则进行扩展，特别是那些来自分支系统的准则，到这种相对设置中。 这一新概念与某些我们称之为无限马尔可夫映射的区间映射的动力学密切相关，并确实由此得到启发。 核心观点是，这些代数为由此类映射诱导的表示提供了自然的框架。 显示英文摘要

摘要： In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching systems,to this relative setting. This new concept is closely connected to, and indeed motivated by, the dynamics of certain interval maps that we call infinite Markov maps. The central point is that these algebras provide the natural framework in which representations induced by such maps are defined.