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A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
We introduce the notion of stable representations, -- it is a new class of the representations of a certain class of groups which defined with positive definite functions which generalize the classica...
Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a...
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...
Gabor frames with Hermite functions are equivalent to sampling sequences in true Fock spaces of polyanalytic functions. In the L2-case, such an equivalence follows from the unitarity of the polyanalyt...
Given a Lagrangian sphere in a symplectic 4-manifold (M, ω) with b+ = 1, we find embedded symplectic surfaces intersecting it minimally. When the Kodaira dimension of (M, ω) is −∞, this result t...
Identification of defective members of large populations has been widely studied in the statistics community under the name of group testing. It involves grouping subsets of items into different pools...

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