量子齐性sl_{n+1}（R）-空间上不变积分的算子理论方法
An operator-theoretic approach to invariant integrals on quantum homogeneous sl_{n+1}(R)-spaces
摘要：
我们提出了其他的例子说明运营商理论的方法不变的积分量子齐性空间开发的库尔斯坦和第二作者。选择量子空间，使得它们的坐标代数不允许有界希尔伯特空间表示，并且它们的自伴生成元具有连续谱。迹族算子的算子代数与坐标代数相关联，坐标代数允许解释为快速减函数和有限函数。不变积分被定义为一个迹泛函，它推广了著名的量子迹。我们认为，以前的代数方法会失败，这些例子。
英文摘要：
We present other examples illustrating the operator-theoretic approach to invariant integrals on quantum homogeneous spaces developed by Kuersten and the second author. The quantum spaces are chosen such that their coordinate algebras do not admit bounded Hilbert space representations and their self-adjoint generators have continuous spectrum. Operator algebras of trace class operators are associated to the coordinate algebras which allow interpretations as rapidly decreasing functions and as finite functions. The invariant integral is defined as a trace functional which generalizes the well-known quantum trace. We argue that previous algebraic methods would fail for these examples.
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