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On Kazhdan's Property (T) for the special linear group of holomorphic functions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Science Education and Mathematics. Aalto Univ, Dept Math & Syst Anal, FI-00076 Aalto, Finland.
Univ Bern, Inst Math, CH-3012 Bern, Switzerland.
2014 (English)In: Bulletin of the Belgian Mathematical Society Simon Stevin, ISSN 1370-1444, E-ISSN 2034-1970, Vol. 21, no 1, p. 185-191Article in journal (Refereed) Published
Abstract [en]

We investigate when the group SLn (O(X)) of holomorphic maps from a Stein space X to SLn (C) has Kazhdan's property (T) for n >= 3. This provides a new class of examples of non-locally compact groups having Kazhdan's property (T). In particular we prove that the holomorphic loop group of SLn (C) has Kazhdan's property (T) for n >= 3. Our result relies on the method of Shalom to prove Kazhdan's property (T) and the solution to Gromov's Vaserstein problem by the authors.

Place, publisher, year, edition, pages
2014. Vol. 21, no 1, p. 185-191
Keywords [en]
Kazhdan property, Stein manifold, special linear group
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-22003ISI: 000333656600014OAI: oai:DiVA.org:miun-22003DiVA, id: diva2:721442
Available from: 2014-06-04 Created: 2014-05-28 Last updated: 2017-12-05Bibliographically approved

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Ivarsson, Björn

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