Composition series of C* (G) and C... (G), where G is a solvable Lie groups.
Computation of some examples of Brown's spectral measure in free probability
We use free probability techniques to compute spectra and Brown measures of some non-hermitian operators in finite von Neumann algebras. Examples include where uₙ and are the generators of ℤₙ and ℤ respectively, in the free product ℤₙ*ℤ, or elliptic elements of the form where and are free semicircular elements of variance α and β.
Concentration Functions and a Class of Non-Compact Groups.
Condensations of Tychonoff universal topological algebras
Let be a Tychonoff (regular) paratopological group or algebra over a field or ring or a topological semigroup. If and , then there exists a Tychonoff (regular) topology such that and is a paratopological group, algebra over or a topological semigroup respectively.
Configurations of points in sets of positive measure and in Baire sets of second category
Conjugaison topologique des automorphismes et des translations ergodiques de nilvariétés
Conjugation-invariant means
Connected groups with polynomially induced dual.
Connected LCA groups are sequentially connected
We prove that every connected locally compact Abelian topological group is sequentially connected, i.e., it cannot be the union of two proper disjoint sequentially closed subsets. This fact is then applied to the study of extensions of topological groups. We show, in particular, that if is a connected locally compact Abelian subgroup of a Hausdorff topological group and the quotient space is sequentially connected, then so is .
Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.
Construction techniques for some thin sets in duals of compact abelian groups
Various techniques are presented for constructing (p) sets which are not for all . The main result is that there is a (4) set in the dual of any compact abelian group which is not for all . Along the way to proving this, new constructions are given in dual groups in which constructions were already known of (p) not sets, for certain values of . The main new constructions in specific dual groups are:– there is a (2k) set which is not in for all , and , and in ( a prime,...
Continous Wavelet Transforms with Applications to Analyzing Functions on Spheres.
Continuity of Locally Compact Group Actions with Measurable Orbit Maps.
Continuity of semigroup actions.
Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroups.
Continuous Automorphisms on Locally Compact Groups.
Continuous Cohomology and a Conjecture of Serre's.
Contractive Automorphisms on Locally Compact Groups.
Counting problems and semisimple groups.
Covariant differential operators.