Academic Journal
Around Property (T) for Quantum Groups
| العنوان: | Around Property (T) for Quantum Groups |
|---|---|
| المؤلفون: | Daws, M, Skalski, A, Viselter, A |
| بيانات النشر: | Springer Verlag |
| سنة النشر: | 2017 |
| المجموعة: | White Rose Research Online (Universities of Leeds, Sheffield & York) |
| الوصف: | We study Property (T) for locally compact quantum groups, providing several new characterisations, especially related to operator algebraic ergodic theory. Quantum Property (T) is described in terms of the existence of various Kazhdan type pairs, and some earlier structural results of Kyed, Chen and Ng are strengthened and generalised. For second countable discrete unimodular quantum groups with low duals, Property (T) is shown to be equivalent to Property (T)1,1 of Bekka and Valette. This is used to extend to this class of quantum groups classical theorems on ‘typical’ representations (due to Kerr and Pichot), and on connections of Property (T) with spectral gaps (due to Li and Ng) and with strong ergodicity of weakly mixing actions on a particular von Neumann algebra (due to Connes and Weiss). Finally, we discuss in the Appendix equivalent characterisations of the notion of a quantum group morphism with dense image. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | text |
| اللغة: | English |
| Relation: | https://eprints.whiterose.ac.uk/124081/7/10.1007_s00220-017-2862-5.pdf; Daws, M orcid.org/0000-0003-1707-4308 , Skalski, A and Viselter, A (2017) Around Property (T) for Quantum Groups. Communications in Mathematical Physics, 353 (1). pp. 69-118. ISSN 0010-3616 |
| الاتاحة: | https://eprints.whiterose.ac.uk/124081/ https://eprints.whiterose.ac.uk/124081/7/10.1007_s00220-017-2862-5.pdf |
| رقم الانضمام: | edsbas.6E1EEC45 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |