Noncommutative geometry (An introduction to selected topics)
type: Item
instance of: scholarly article
title: Noncommutative geometry (An introduction to selected topics)
zbMATH Open document ID: 0996.58007
DOI: 10.1023/A:1013926231951
author: Giovanni Landi
published in: Acta Applicandae Mathematicae
publication date: 2002-05-30T00:00:00Z
review text: This is a nice introductory survey of noncommutative geometry. The author starts by showing how the duality (Spaces) \(\leftrightarrow\) (Commutative Algebras) generalizes to (Quotient Spaces) \(\leftrightarrow\) (Noncommutative Algebras). He goes on to discuss the relationship between modules and (vector) bundles, the Connes-Chern character of idempotents, spectral triples, and the noncommutative torus and \(4\)-sphere. Along the way the author talks about applications to various fields. It should be useful as a guide to beginners.
Mathematics Subject Classification ID: 58B34
Mathematics Subject Classification ID: 58-01
Mathematics Subject Classification ID: 58J42
zbMATH DE Number: 1747778
zbMATH Keywords: noncommutative geometry
zbMATH Keywords: \(\ast\)-algebras
zbMATH Keywords: survey
MaRDI profile type: Publication
full work available at URL: a:1013926231951
OpenAlex ID: W206561051
description: scientific article; zbMATH DE number 1747778