Connes amenability-like properties

• Autorzy: Amin Mahmoodi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 22D15: Group algebras of locally compact groups
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 43A10: Measure algebras on groups, semigroups, etc.
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 1
• Strony: 55-72

Daty

wydano

2014

Twórcy

autor

Amin Mahmoodi

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Identyfikatory

DOI

10.4064/sm220-1-3