✦ LIBER ✦

Connectedness properties of locally compact groups

✍ Scribed by H. Boseck; G. Czichowski

Publisher: John Wiley and Sons
Year: 1979
Tongue: English
Weight: 467 KB
Volume: 89
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19790890104

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Homogeneous Locally Compact Groups

✍ Markus Stroppel 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 189 KB

We determine all locally compact abelian groups with the property that the group of all topological automorphisms acts transitively on the set of nontrivial elements. Such groups are called homogeneous. The connected ones are the additive groups of finite-dimensional vector spaces over the real numb

Induced Corepresentations of Locally Com

Induced Corepresentations of Locally Compact Quantum Groups

✍ Johan Kustermans 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 381 KB

We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under some mild integrability condition. We also establish a quantum analogue of the classical bijective correspondence betwe

Locally compact (2, 2)-transformation gr

Locally compact (2, 2)-transformation groups

✍ Alfonso Di Bartolo; Giovanni Falcone; Karl Strambach 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 215 KB

We determine all locally compact imprimitive transformation groups acting sharply 2-transitively on a nontotally disconnected quotient space of blocks inducing on any block a sharply 2-transitive group and satisfying the following condition: if Δ1, Δ2 are two distinct blocks and Pi, Qi ∈ Δi (i = 1,

Limit theorems on locally compact Abelia

Limit theorems on locally compact Abelian groups

✍ Mátyás Barczy; Alexander Bendikov; Gyula Pap 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB 👁 1 views

## Abstract We prove limit theorems for row sums of a rowwise independent infinitesimal array of random variables with values in a locally compact Abelian group. First we give a proof of Gaiser's theorem [4, Satz 1.3.6], since it does not have an easy access and it is not complete. This theorem giv

Weak Amenability of Banach Algebras on L

Weak Amenability of Banach Algebras on Locally Compact Groups

✍ A.T.-M. Lau; R.J. Loy 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Recent work by various authors has considered the implications of Banach algebra amenability for various algebras defined over locally compact groups, one of the basic tools being the fact that a continuous homomorphic image of an amenable algebra is again amenable. In the present paper we look at t

Lower Multiplicity for Irreducible Repre

Lower Multiplicity for Irreducible Representations of Nilpotent Locally Compact Groups

✍ Eberhard Kaniuth 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 141 KB

Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent