Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Steger, Tim"'
Let $\pi$ be an irreducible unitary representation of a finitely generated nonabelian free group $\Gamma$; suppose $\pi$ is weakly contained in the regular representation. In 2001 the first and third authors conjectured that such a representation mus
Externí odkaz:
http://arxiv.org/abs/2010.06222
We present a powerful theorem for proving the irreducibility of tempered unitary representations of the free group.
Externí odkaz:
http://arxiv.org/abs/1905.03011
Autor:
Steger, Tim, Trojan, Bartosz
For the natural two parameter filtration $(\mathcal{F}_\lambda : \lambda \in P)$ on the boundary of a triangle building we define a maximal function and a square function and show their boundedness on $L^p(\Omega_0)$ for $p \in (1, \infty)$. At the e
Externí odkaz:
http://arxiv.org/abs/1703.00181
Autor:
Cartwright, Donald I., Steger, Tim
In order to enumerate the fake projective planes, as announced in~\cite{CS}, we found explicit generators and a presentation for each maximal arithmetic subgroup $\bar\Gamma$ of~$PU(2,1)$ for which the (appropriately normalized) covolume equals~$1/N$
Externí odkaz:
http://arxiv.org/abs/1701.02452
Let $\Gamma$ be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of $\Gamma$ and proved them irreducible as representation of $\Gamma\ltimes_\
Externí odkaz:
http://arxiv.org/abs/1501.03103
Autor:
Robertson, Guyan, Steger, Tim
Publikováno v:
J. Operator Theory 36 (1996), 317--334
An $\widetilde A_2$ group $\Gamma$ acts simply transitively on the vertices of an affine building $\triangle$. We study certain subgroups $\Gamma_0 \cong {\Bbb Z}^2$ which act on certain apartments of $\triangle$. If one of these subgroups acts simpl
Externí odkaz:
http://arxiv.org/abs/1302.5926
Autor:
Robertson, Guyan, Steger, Tim
Publikováno v:
Proc. London Math. Soc. 72 (1996), 613--637
A subgroup of an amenable group is amenable. The $C^*$-algebra version of this fact is false. This was first proved by M.-D. Choi who proved that the non-nuclear $C^*$-algebra $C^*_r(\ZZ_2*\ZZ_3)$ is a subalgebra of the nuclear Cuntz algebra ${\cal O
Externí odkaz:
http://arxiv.org/abs/1302.5920
Autor:
Robertson, Guyan, Steger, Tim
Publikováno v:
Ergodic Th. and Dynam. Sys. 18 (1998), 247-253
A class of negative definite kernels is defined in terms of measure spaces. Using this concept, property (T) for a countable group $\G$ is characterized in terms of measure preserving actions of $\G$, as follows. If a set $S$ is translated a finite a
Externí odkaz:
http://arxiv.org/abs/1302.5789
Autor:
Robertson, Guyan, Steger, Tim
Publikováno v:
J. Combin. Theory Ser. A, 103 (2003), 91-104
Let $\Gamma$ be a group of type rotating automorphisms of a building $\cB$ of type $\widetilde A_2$, and suppose that $\Gamma$ acts freely and transitively on the vertex set of $\cB$. The apartments of $\cB$ are tiled by triangles, labelled according
Externí odkaz:
http://arxiv.org/abs/1302.5778
Publikováno v:
Geometric and Funct. Anal. 8 (1998), 702-731
Haagerup's inequality for convolvers on free groups may be interpreted as a result on $\tA_1$ buildings, i.e. trees. Here are proved analogous inequalities for discrete groups acting freely on the vertices of $\tA_1\times\tA_1$ and $\tA_2$ buildings.
Externí odkaz:
http://arxiv.org/abs/1302.5598