C∞ parametrix on lie groups and two steps factorization on convolution algebras

1980 ◽  
pp. 142-156
Author(s):  
Paul Malliavin
Keyword(s):  
Lie Groups ◽  
Convolution Algebras

scholarly journals New Deformations of Convolution Algebras and Fourier Algebras on Locally Compact Groups

2017 ◽  
Vol 69 (02) ◽  
pp. 434-452 ◽  
Author(s):  
Hun Hee Lee ◽  
Sang-gyun Youn
Keyword(s):  
Growth Rate ◽  
Lie Groups ◽  
Operator Algebra ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Discrete Groups ◽  
Locally Compact ◽  
Real Dimension ◽  
Convolution Algebras ◽  
Deformed Algebras

Abstract In this paper we introduce a new way of deforming convolution algebras and Fourier algebras on locally compact groups. We demonstrate that this new deformation allows us to reveal some information about the underlying groups by examining Banach algebra properties of deformed algebras. More precisely, we focus on representability as an operator algebra of deformed convolution algebras on compact connected Lie groups with connection to the real dimension of the underlying group. Similarly, we investigate complete representability as an operator algebra of deformed Fourier algebras on some ûnitely generated discrete groups with connection to the growth rate of the group.

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

1995 ◽  
Author(s):  
Josi A. de Azcárraga ◽  
Josi M. Izquierdo
Keyword(s):  
Lie Groups ◽  
Lie Algebras

Cohomology of orbits of compact Lie groups

1983 ◽  
Vol 69 (1) ◽  
pp. 51-71
Author(s):  
Simone Gutt
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups

scholarly journals Weak amenability of Lie groups made discrete

2018 ◽  
Vol 297 (1) ◽  
pp. 101-116
Author(s):  
Søren Knudby
Keyword(s):  
Lie Groups ◽  
Weak Amenability

scholarly journals Some groups with T1 primitive ideal spaces

1985 ◽  
Vol 38 (1) ◽  
pp. 55-64 ◽  
Author(s):  
A. L. Carey ◽  
W. Moran
Keyword(s):  
Normal Subgroup ◽  
Lie Groups ◽  
Lie Group ◽  
Locally Compact Group ◽  
Primitive Ideal ◽  
Ideal Space ◽  
Solvable Lie Groups ◽  
Locally Compact ◽  
Simply Connected ◽  
Connected Lie Group

AbstractLet G be a second countable locally compact group possessing a normal subgroup N with G/N abelian. We prove that if G/N is discrete then G has T1 primitive ideal space if and only if the G-quasiorbits in Prim N are closed. This condition on G-quasiorbits arose in Pukanzky's work on connected and simply connected solvable Lie groups where it is equivalent to the condition of Auslander and Moore that G be type R on N (-nilradical). Using an abstract version of Pukanzky's arguments due to Green and Pedersen we establish that if G is a connected and simply connected Lie group then Prim G is T1 whenever G-quasiorbits in [G, G] are closed.

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