Journal article

On Kazhdans Property (T) for the special linear group of holomorphic functions

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Author list: Ivarsson, Björn

Publication year: 2014

Start page: 185

End page: 191

Number of pages: 7

ISSN: 1370-1444

View additional information: View in Web of Science


Abstract

We investigate when the group SLn (O(X)) of holomorphic maps from a Stein space X to SLn (C) has Kazhdans property (T) for n >= 3. This provides a new class of examples of non-locally compact groups having Kazhdans property (T). In particular we prove that the holomorphic loop group of SLn (C) has Kazhdans property (T) for n >= 3. Our result relies on the method of Shalom to prove Kazhdans property (T) and the solution to Gromovs Vaserstein problem by the authors.


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