Character contractibility of Banach algebras and homological properties of Banach modules

• Autorzy: Rasoul Nasr-Isfahani , Sima Soltani Renani
• Języki publikacji: EN

Abstrakty

EN

Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 22D15: Group algebras of locally compact groups
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 3
• Strony: 205-225

Daty

wydano

2011

Twórcy

autor

Rasoul Nasr-Isfahani

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

autor

Sima Soltani Renani

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

Identyfikatory

DOI

10.4064/sm202-3-1