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We introduce various notions of large-scale isoperimetric profile on a locally compact, compactly generated amenable group. These asymptotic quantities provide measurements of the degree of amenability of the group. We are particularly interested in a class of groups with exponential volume growth which are the most amenable possible in that sense. We show that these groups share various interesting properties such as the speed of on-diagonal decay of random walks, the vanishing of the reduced first...

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Displaying 41 – 60 of 136

Groups of Measure Preserving Transformations.

Harmonic analysis and unitary group representations : the development from 1927 to 1950

Harmonic induction on Lie groups.

Ideale mit beschränkter approximativer Eins in Gruppenalgebren von Moore-Gruppen.

Induction and restriction as adjoint functors on representations of locally compact groups.

Induction from a normal nilpotent subgroup

Integralzerlegungen positiv definiter Distributionen auf nilpotenten Liegruppen.

Invariant states and a conditional fixed point property for affine actions.

Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.

Isolated Points in Duals of Certain Locally Compact Groups.

Kazhdan constants and matrix coefficients of $Sp (n, ℝ)$ .

Kazhdan constants and the dual space topology.

Kazhdan constants associated with Laplacian on connected Lie groups.

Kazhdan's property (T) and amenable representations.

Large-scale isoperimetry on locally compact groups and applications

Le groupe de Poincaré et ses représentations

Local eigenvectors for group representations

Locally Compact Groups Acting on Trees and Property T.

Matrix entries of real representations of the groups $O (3)$ and $S O (3)$ .

Non-archimedean induced representations of compact zerodimensional groups

Currently displaying 41 – 60 of 136