Connes amenability-like properties

Amin Mahmoodi

Studia Mathematica (2014)

  • Volume: 220, Issue: 1, page 55-72
  • ISSN: 0039-3223

Abstract

top
We introduce and study the notions of w*-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra ℓ¹ is not w*-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.

How to cite

top

Amin Mahmoodi. "Connes amenability-like properties." Studia Mathematica 220.1 (2014): 55-72. <http://eudml.org/doc/285476>.

@article{AminMahmoodi2014,
abstract = {We introduce and study the notions of w*-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra ℓ¹ is not w*-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.},
author = {Amin Mahmoodi},
journal = {Studia Mathematica},
keywords = {Connes amenability; pseudo-Connes amenability; approximate Connes amenability; Banach sequence algebra},
language = {eng},
number = {1},
pages = {55-72},
title = {Connes amenability-like properties},
url = {http://eudml.org/doc/285476},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Amin Mahmoodi
TI - Connes amenability-like properties
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 1
SP - 55
EP - 72
AB - We introduce and study the notions of w*-approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We prove that the dual Banach sequence algebra ℓ¹ is not w*-approximately Connes amenable. We show that in general the concepts of pseudo-Connes amenability and Connes amenability are distinct. Moreover the relations between these new notions are also discussed.
LA - eng
KW - Connes amenability; pseudo-Connes amenability; approximate Connes amenability; Banach sequence algebra
UR - http://eudml.org/doc/285476
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.