Homological characteristics of operator algebras
type: Item
instance of: scholarly article
title: Homological characteristics of operator algebras
zbMATH Open document ID: 0613.46061
published in: Moscow University Mathematics Bulletin
publication date: 1986-01-01T00:00:00Z
review text: A Banach algebra is called hereditary if every of its closed left ideals is a projective \(A\)-module. For functional algebras \(C(\Omega)\) A. Ya. Khelemski has proved a characterization as algebras with hereditary paracompact spectrum. In the paper under review two results are proved: 1) Separable \(C^*\)-algebras are all hereditary. 2) Infinite dimensional von Neumann algebras are not hereditary.
Mathematics Subject Classification ID: 46M20
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 3992205
zbMATH Keywords: projective A-module
zbMATH Keywords: functional algebras
zbMATH Keywords: algebras with hereditary paracompact spectrum
author: Zinaida A. Lykova
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3992205