2 Citations
Uniformly bounded representations and completely bounded multipliers of SL(2,R)
- Mathematics
- 2018
We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, R) as completely bounded multipliers of the Fourier algebra. Our results suggest that the…
References
SHOWING 1-10 OF 14 REFERENCES
Exactness and Uniform Embeddability of Discrete Groups
- Mathematics
- 2003
A numerical quasi‐isometry invariant R(Γ) of a finitely generated group Γ is defined whose values parametrize the difference between Γ being uniformly embeddable in a Hilbert space and Cr* (Γ) being…
Hilbert C*-modules and amenable actions
- Mathematics
- 2010
We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups,…
The Novikov Conjecture for Linear Groups
- Mathematics
- 2005
Let K be a field. We show that every countable subgroup of GL(n,K) is uniformly embeddable in a Hilbert space. This implies that Novikov’s higher signature conjecture holds for these groups. We also…
Poincaré inequalities, embeddings, and wild groups
- MathematicsCompositio Mathematica
- 2011
Abstract We present geometric conditions on a metric space (Y,dY) ensuring that, almost surely, any isometric action on Y by Gromov’s expander-based random group has a common fixed point. These…
The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space
- Mathematics
- 2000
Corollary 1.2. Let Γ be a finitely generated group. If Γ, as a metric space with a word-length metric, admits a uniform embedding into Hilbert space, and its classifying space BΓ has the homotopy…
What is π
- Mathematics
- 1991
There are many possible ways of introducing the number π, associated with the circle. We shall obtain π from the complex exponential function
$$ \exp \,z = 1 + \frac{z} {{2!}} + \cdots . $$
.
Fixed point properties and second bounded cohomology of universal lattices on Banach spaces
- Mathematics
- 2009
Abstract Let B be any Lp space for p ∈ (1, ∞) or any Banach space isomorphic to a Hilbert space, and k ≧ 0 be integer. We show that if n ≧ 4, then the universal lattice Γ = SL n (ℤ[x 1, . . . , xk ])…
POINCARE INEQUALITIES
- Mathematics
- 2015
Poincare inequalities are a simple way to obtain lower bounds on the distortion of mappings X into Y. These are shown below to be sharp when we consider the Lp spaces. A Poincare inequality is one of…
Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups
- Mathematics
- 2010
We denote by F the real or complex numbers (R or C) or the quaternions (Q). We consider R as a subfield of C, and C as a subfield of Q. If z ∈ F, then we may write
$$ {\text{z}}\,{\text{ =…
What Is Property?
- Economics
- 2014
The monopoly of landed property is a historical precondition for the capitalist mode of production and remains its permanent foundation, as with all previous modes of production based on the exploi...