Operator Algebras Associated with Subproduct Systems

在数学界，被称为“算子代数”的领域是一个充满活力和高度影响的领域。它描述了非交换对象，即其结果取决于其启动顺序的操作。算子代数学家一直在寻找普遍对象。粗略地说，这意味着它们自然地出现，并且可以以规范的方式与广泛的其他对象相关联。在一个被称为积系统的特定环境中，有两个这样的对象近年来得到了广泛的研究：它们是Toeplitz代数和Cuntz-Pimsner代数。

In the world of mathematics, the field called "operator algebras" is vibrant and of high impact. It describes non-commutative objects, that is, operations whose outcome depends on their order of launching. Operator algebraists are constantly seeking universal objects. This means, roughly, that they appear naturally, and can be associated in a canonical manner to a wide family of other objects. In a specific setting, called product systems, two such objects in particular have been extensively studied during recent years: these are the Toeplitz and Cuntz-Pimsner algebras.