局部紧量子群的归纳法
Induction for locally compact quantum groups revisited
摘要：
在本文中，我们重新研究了诱导表示理论在局部紧量子群的设置。在从开量子子群诱导的情况下，我们表明，建设Kustermans和Vaes是等价的经典的，更简单的，建设的Rieffel。我们还证明了一般设置的连续性的感应的意义上的Vaes相对于弱遏制。
英文摘要：
In this paper we revisit the theory of induced representations in the setting of locally compact quantum groups. In the case of induction from open quantum subgroups, we show that constructions of Kustermans and Vaes are equivalent to the classical, and much simpler, construction of Rieffel. We also prove in general setting the continuity of induction in the sense of Vaes with respect to weak containment.
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