Pontryagin Duality for a Class of Locally Compact Quantum Groups

✍ Scribed by Jan Hollevoet

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 749 KB
Volume: 176
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19951760108

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The Unitary Implementation of a Locally Compact Quantum Group Action

✍ Stefaan Vaes 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 315 KB

In this paper we study actions of locally compact quantum groups on von Neumann algebras and prove that every action has a canonical unitary implementation, paralleling Haagerup's classical result on the unitary implementation of a locally compact group action. This result is an important tool in th