Quantum forms of tensor products
type: Item
instance of: scholarly article
title: Quantum forms of tensor products
zbMATH Open document ID: 0786.58007
DOI: 10.1007/BF02100054
author: Daniel Kastler
author: Daniel Testard
published in: Communications in Mathematical Physics
publication date: 1993-12-08T00:00:00Z
review text: \textit{A. Connes} [``The metric aspects of non-commutative geometry'', College of France, preprint (1991); see also ``Géométrie non- commutative'' (1990; Zbl 0745.46067)] recently introduced the differential algebra of quantum differential forms which is a non- commutative generalization of the classical De-Rham complex and demonstrated its effectiveness in describing non-commutative Yang-Mills fields. In this paper the authors develop a \(^*\)-algebra of skew tensor products of two \(^*\)-algebras equipped with \(K\)-cycles that is likely to be useful in the description of supersymmetric Yang-Mills theories.
reviewed by: Chandra Shekhar Sharma
Mathematics Subject Classification ID: 46L85
Mathematics Subject Classification ID: 46L87
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 81T70
zbMATH DE Number: 459093
zbMATH Keywords: graded algebra
zbMATH Keywords: quantum differential forms
zbMATH Keywords: De-Rham complex
zbMATH Keywords: skew tensor products
zbMATH Keywords: supersymmetric Yang-Mills
MaRDI profile type: Publication
cites work: Particle models and noncommutative geometry
cites work: Q3994356
cites work: Q5565478
description: scientific article; zbMATH DE number 459093