Results 21 to 30 of about 435,333 (282)

Decomposing locally compact groups into simple pieces [PDF]

, 2008
We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki, Bourbaki, Bourbaki, Braconnier, Dixmier, Dugundji, Gol′ berg, Gorenstein, Grosser, Hewitt, Kelley, Mozes, NICOLAS MONOD, PIERRE-EMMANUEL CAPRACE, Platonov, Pontrjagin, Ušakov, Weil, Zerling   +18 more
core   +2 more sources

Continuity of the dual Haar measure

Comptes Rendus. Mathématique, 2021
Given a continuous field of locally compact groups, we show that the field of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact ...
Renault, Jean
doaj   +1 more source

A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]

, 2012
We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain, Delmas, Jean-Francois, Hoscheit, Patrick   +2 more
core   +6 more sources

Compactness and local compactness in hyperspaces

Topology and its Applications, 2002
In their interesting paper the authors treat compactness and relative compactness of subsets of hyperspaces, where the hyperspaces are considered to be equipped with the Vietoris, the Wijsman and partly the Hausdorff metric topology. Included in the paper are also characterizations of local compactness with respect to the mentioned hyperspace ...
COSTANTINI, Camillo, S. LEVI, J. PELANT
openaire   +2 more sources

$L^p$-Conjecture on Hypergroups [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions  for a weighted Lebesgue space  $L^p(K,w)$ to be a convolution Banach algebra, where ...
Seyyed Mohammad Tabatabaie, Faranak Haghighifar   +1 more
doaj   +1 more source

The Fell compactification and non-Hausdorff groupoids [PDF]

, 2009
A compactification of Fell is applied to locally compact non-Hausdorff groupoids and yields locally compact Hausdorff groupoids. In the etale case, this construction provides a geometric picture for the left-regular representations introduced by Khoshkam
Timmermann, Thomas
core   +2 more sources

APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]

Journal of Algebraic Systems, 2014
Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
doaj   +1 more source

Amenable hyperbolic groups [PDF]

, 2013
We give a complete characterization of the locally compact groups that are non-elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover
Caprace, Pierre-Emmanuel, de Cornulier, Yves, Monod, Nicolas, Tessera, Romain   +3 more
core   +2 more sources

On locally compact shift continuous topologies on the semigroup $\boldsymbol{B}_{[0,\infty)}$ with an adjoined compact ideal

Математичні Студії
Let $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
doaj   +1 more source

Locally Compact Contractive Local Groups

, 2009
10 ...
van den Dries, Lou, Goldbring, Isaac
openaire   +3 more sources