190915
20180913062154.0
0002-9939
000326513700006
ISI
ARTICLE
Fixed Point Property For Universal Lattice On Schatten Classes
Providence
2013
Amer Mathematical Soc
2013
17
Journal Articles
The special linear group G = SLn(Z[x(1), ... , x(k)]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, and p be any real number in (1, infinity). The main result is the following: any finite index subgroup of G has the fixed point property with respect to every affine isometric action on the space of p-Schatten class operators. It is in addition shown that higher rank lattices have the same property. These results are a generalization of previous theorems respectively of the author and of Bader-Furman-Gelander-Monod, which treated a commutative L-p-setting.
Fixed point property
Kazhdan's property (T)
Schatten class operators
noncommutative L-p-spaces
bounded cohomology
Mimura, Masato
Univ Tokyo, Grad Sch Math Sci, Komaba, Tokyo 1538914, Japan
65-81
1
Proceedings Of The American Mathematical Society
141
EGG
252235
U11822
oai:infoscience.tind.io:190915
article
SB
181579
EPFL-ARTICLE-190915
EPFL
PUBLISHED
REVIEWED
ARTICLE