Vector fields on C*-algebras, semigroups of endomorphisms and gauge groups

2012/12/03 by Innocenti Maresin, Maresin, Innocenti
Mathematics · Physics and Astronomy · #46L87 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:46L87

paper · pdf · doi:10.48550/arxiv.1212.0500

probably will be updated in the future

arxiv created 2012/12/03 · arxiv updated 2012/12/04

Abstract

What is a vector field on a C*-algebra is defined. Its relation to semigroups of endomorphisms was researched. Some results given about those vector fields and semigroups. There are also various constructions of semigroups including one parametrized by the cone of the future in (3+1)-dimensional Minkowski space. Physical interpretations will be presented in a separate paper.

Related

• Semigroup C*-algebras
• When a C*-algebra is a coefficient algebra for a given endomorphism
• Rings and Fields from Semigroups
• Semisimple Algebras of Vector Fields on ℂ³
• Operator algebras and representations from commuting semigroup actions