标题： n维量子复空间上的函数代数 显示英文标题

标题： Function algebras on the n-dimensional quantum complex space

摘要： 本文介绍了一个(n维量子复空间上消失于无穷的连续函数的)(普遍)C*-代数。为此，对定义关系的良好行为Hilbert空间表示进行了分类。然后这些表示通过L2空间上的乘法算子实现。消失于无穷的连续函数的C*-代数通过考虑一个*-代数，其经典对应分离n维复空间的点，并通过对该代数的普遍表示取算子范数闭包来定义。 显示英文摘要

摘要： The paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the n-dimensional quantum complex space. To this end, the well-behaved Hilbert space representations of the defining relations are classified. Then these representations are realized by multiplication operators on an L2-space. The C*-algebra of continuous functions vanishing at infinity is defined by considering a *-algebra such that its classical counterpart separates the points of the n-dimensional complex space and by taking the operator norm closure of a universal representation of this algebra.