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Hokkaido University Collection of Scholarly and Academic Papers >
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Peer-reviewed Journal Articles, etc >
HAAGERUP APPROXIMATION PROPERTY VIA BIMODULES
| Title: | HAAGERUP APPROXIMATION PROPERTY VIA BIMODULES |
| Authors: | Okayasu, Rui Browse this author | | Ozawa, Narutaka Browse this author | | Tomatsu, Reiji Browse this author →KAKEN DB |
| Issue Date: | 22-Sep-2018 |
| Publisher: | Institut for Matematik Aarhus Universitet |
| Journal Title: | Mathematica Scandinavica |
| Volume: | 121 |
| Issue: | 1 |
| Start Page: | 75 |
| End Page: | 91 |
| Publisher DOI: | 10.7146/math.scand.a-25970 |
| Abstract: | The Haagerup approximation property (HAP) is defined for finite von Neumann algebras in such a way that the group von Neumann algebra of a discrete group has the HAP if and only if the group itself has the Haagerup property. The HAP has been studied extensively for finite von Neumann algebras and it was recently generalized to arbitrary von Neumann algebras by Caspers-Skalski and Okayasu-Tomatsu. One of the motivations behind the generalization is the fact that quantum group von Neumann algebras are often infinite even though the Haagerup property has been defined successfully for locally compact quantum groups by Daws-Fima-Skalski-White. In this paper, we fill this gap by proving that the von Neumann algebra of a locally compact quantum group with the Haagerup property has the HAP. This is new even for genuine locally compact groups. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/71992 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 戸松 玲治
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