乘积部分等距、可管理性及C*-代数量子群体
Multiplicative partial isometries, manageability, and C*-algebraic quantum groupoids
AI总结：
本文提出乘积部分等距的概念，并通过可管理性条件构造C*-代数量子群体结构。
摘要：
在局部紧量子群理论中，乘积单位元的概念起着基础性作用。本文提出了乘积部分等距的概念。公理包括五边形方程，但还需要更多条件。在适当的条件下（如“可管理性”），可以从该结构中构造出一对具有分离类型C*-代数量子群体结构的C*-代数。通过修改Woronowicz对乘积单位元的条件，对乘积部分等距施加“可管理性”条件，可以从中构造出一对几乎具有分离类型C*-代数量子群体结构的C*-代数。
英文摘要：
Generalizing the notion of a multiplicative unitary (in the sense of Baaj-Skandalis), which plays a fundamental role in the theory of locally compact quantum groups, we develop in this paper the notion of a multiplicative partial isometry. The axioms include the pentagon equation, but more is needed. Under suitable conditions (such as the "manageability"), it is possible to construct from it a pair of C*-algebras having the structure of a C*-algebraic quantum groupoid of separable type. Generalizing the notion of a multiplicative unitary operator, which plays a fundamental role in the theory of locally compact quantum groups, we develop in this paper the notion of a multiplicative partial isometry. The axioms include the pentagon equation, but more is needed. Under the "manageability" condition on a multiplicative partial isometry (modified from the Woronowicz's condition for a multiplicative unitary), it is possible to construct from it a pair of C*-algebras having almost the structure of a C*-algebraic quantum groupoid of separable type.
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