scholarly journals Pseudo-differential Operators Associated to General Type I Locally Compact Groups

2019 ◽  
pp. 172-190 ◽  
Author(s):  
Marius Măntoiu ◽  
Maximiliano Sandoval
Keyword(s):  
General Type ◽  
Differential Operators ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Type I ◽  
Locally Compact ◽  
Pseudo Differential Operators

The reduced dual of a direct product of groups

1966 ◽  
Vol 62 (1) ◽  
pp. 5-6 ◽  
Author(s):  
Aubrey Wulfsohn
Keyword(s):  
Direct Product ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Type I ◽  
Locally Compact ◽  
Product Of Groups

AbstractIf one of the locally compact groups H and K is of type I, the reduced dual of their product is shown to be homeomorphic to the product of the reduced duals.

scholarly journals A positive quantization on type I locally compact groups

2018 ◽  
Vol 292 (5) ◽  
pp. 1043-1055 ◽  
Author(s):  
Marius Măntoiu
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Type I ◽  
Locally Compact

On the Lp-conjecture for locally compact groups

2007 ◽  
Vol 89 (3) ◽  
pp. 237-242 ◽  
Author(s):  
F. Abtahi ◽  
R. Nasr-Isfahani ◽  
A. Rejali
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact

Ergodic actions of group extensions on von Neumann algebras

1989 ◽  
Vol 112 (1-2) ◽  
pp. 71-112
Author(s):  
Klaus Thomsen
Keyword(s):  
Fixed Point ◽  
Von Neumann Algebras ◽  
Locally Compact Group ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Von Neumann ◽  
Finite Dimensional ◽  
Fixed Point Algebra ◽  
Atomic Centre

SynopsisWe consider automorphic actions on von Neumann algebras of a locally compact group E given as a topological extension 0 → A → E → G → 0, where A is compact abelian and second countable. Motivated by the wish to describe and classify ergodic actions of E when G is finite, we classify (up to conjugacy) first the ergodic actions of locally compact groups on finite-dimensional factors and then compact abelian actions with the property that the fixed-point algebra is of type I with atomic centre. We then handle the case of ergodic actions of E with the property that the action is already ergodic when restricted to A, and then, as a generalisation, the case of (not necessarily ergodic) actions of E with the property that the restriction to A is an action with abelian atomic fixed-point algebra. Both these cases are handled for general locally compact-countable G. Finally, we combine the obtained results to classify the ergodic actions of E when G is finite, provided that either the extension is central and Hom (G, T) = 0, or G is abelian and either cyclic or of an order not divisible by a square.

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