-groupoids: Algebraic and topological properties of special groupoids. (-Gruppoide: Algebraische und topologische Eigenschaften spezieller Gruppoide.)
-groups versus -groups
We investigate free groups over sequential spaces. In particular, we show that the free -group and the free sequential group over a sequential space with unique limits coincide and, barred the trivial case, their sequential order is .
La dynamique des pseudogroupes de rotations.
La presque-périodicité et les coalgèbres injectives
Laplace Integral on Rational Numbers.
Large families of dense pseudocompact subgroups of compact groups
We prove that every nonmetrizable compact connected Abelian group G has a family H of size |G|, the maximal size possible, consisting of proper dense pseudocompact subgroups of G such that H ∩ H'={0} for distinct H,H' ∈ H. An easy example shows that connectedness of G is essential in the above result. In the general case we establish that every nonmetrizable compact Abelian group G has a family H of size |G| consisting of proper dense pseudocompact subgroups of G such that each intersection H H'...
Layer potentials C*-algebras of domains with conical points
To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups, and prove Fredholm...
Left thickness, left amenability and extreme left amenability.
Lengths on semigroups and groups.
Lie algebras of a class of top spaces.
Lie generators for one parameter semigroups of transformations.
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...
Lie groups in varieties of topological groups
Lie Semialgebras are Real Phenomena.
Lie theory for semigroups.
Limit Measures on Compact Semitopological Semigroups.
Linear equations in the Stone-Čech compactification of .
Linear right ideal nearrings.
Local and nice structures of the groupoid of an equivalence relation
Local compactness and local invariance of free products of topological groups