Some homological properties of Banach algebras associated with locally compact groups

• Autorzy: Mehdi Nemati
• Języki publikacji: EN

Abstrakty

EN

We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 46M10: Projective and injective objects

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 139
• Numer: 2
• Strony: 259-271

Daty

wydano

2015

Twórcy

autor

Mehdi Nemati

• Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
• School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, P.O. Box 19395-5746, Iran

Identyfikatory

DOI

10.4064/cm139-2-7