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We use free probability techniques to compute spectra and Brown measures of some non-hermitian operators in finite von Neumann algebras. Examples include $u ₙ + u_{\infty}$ where uₙ and $u_{\infty}$ are the generators of ℤₙ and ℤ respectively, in the free product ℤₙ*ℤ, or elliptic elements of the form $S_{α} + i S_{β}$ where $S_{α}$ and $S_{β}$ are free semicircular elements of variance α and β.

Concentration Functions and a Class of Non-Compact Groups.

Karl H. Hofmann, Arunava Mukherjea (1981)

Mathematische Annalen

Condensations of Tychonoff universal topological algebras

Constancio Hernández (2001)

Commentationes Mathematicae Universitatis Carolinae

Let $(L, 𝒯)$ be a Tychonoff (regular) paratopological group or algebra over a field or ring $K$ or a topological semigroup. If $nw (L, 𝒯) \leq τ$ and $nw (K) \leq τ$ , then there exists a Tychonoff (regular) topology $𝒯^{*} \subseteq 𝒯$ such that $w (L, 𝒯^{*}) \leq τ$ and $(L, 𝒯^{*})$ is a paratopological group, algebra over $K$ or a topological semigroup respectively.

Configurations of points in sets of positive measure and in Baire sets of second category

François Destrempes, Ambar Sengupta (1989)

Fundamenta Mathematicae

Conjugaison topologique des automorphismes et des translations ergodiques de nilvariétés

Jean-Pierre Conze, Jean-Claude Marcuard (1970)

Annales de l'I.H.P. Probabilités et statistiques

Conjugation-invariant means

V. Losert, H. Rindler (1987)

Colloquium Mathematicae

Connected groups with polynomially induced dual.

J. Boidol (1982)

Journal für die reine und angewandte Mathematik

Connected LCA groups are sequentially connected

Shou Lin, Mihail G. Tkachenko (2013)

Commentationes Mathematicae Universitatis Carolinae

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 $H$ is a connected locally compact Abelian subgroup of a Hausdorff topological group $G$ and the quotient space $G / H$ is sequentially connected, then so is $G$ .

Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.

Gert-Martin Greuel (1986)

Manuscripta mathematica

Construction techniques for some thin sets in duals of compact abelian groups

D. J. Hajela (1986)

Annales de l'institut Fourier

Various techniques are presented for constructing $Λ$ (p) sets which are not $Λ (p + ϵ)$ for all $ϵ > 0$ . The main result is that there is a $Λ$ (4) set in the dual of any compact abelian group which is not $Λ (4 + ϵ)$ for all $ϵ > 0$ . Along the way to proving this, new constructions are given in dual groups in which constructions were already known of $Λ$ (p) not $Λ (p + ϵ)$ sets, for certain values of $p$ . The main new constructions in specific dual groups are:– there is a $Λ$ (2k) set which is not $Λ (2 k + ϵ)$ in $Z (2) \oplus Z (2) \oplus \dots$ for all $2 \leq k$ , $k \in N$ and $ϵ > 0$ , and in $Z (p) \oplus Z (p) \oplus \dots$ ( $p$ a prime,...

Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroups.

W. Hazod, E. Siebert (1986)

Semigroup forum

Continuous Automorphisms on Locally Compact Groups.

T.S. Wu (1967)

Mathematische Zeitschrift

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Displaying 21 – 40 of 49

Complemented *-primitive Ideals in L1-algebras of Exponential Lie Groups and of Motion Groups.

Complemented Subspaces of L... (G), Ideals of L... (G) and Amenability.

Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one.

Comportement des exposants de Lyapounov d'une matrice perturbée par des rotations

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