Lifting spectral triples to noncommutative principal bundles

被引：5

作者：

Schwieger, Kay ^{[1
]}

Wagner, Stefan ^{[2
]}

机构：

[1] Iteratec GmbH, Stuttgart, Germany

[2] Blekinge Tekniska Hgsk, Karlskrona, Sweden

来源：

ADVANCES IN MATHEMATICS | 2022年 / 396卷

关键词：

Noncommutative principal bundle; Factor system; Spectral triple; DIRAC OPERATORS; FACTORIZATION; FIBRATIONS;

D O I：

10.1016/j.aim.2021.108160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a free action of a compact Lie group G on a unital C*-algebra A and a spectral triple on the corresponding fixed point algebra A(G), we present a systematic and in-depth construction of a spectral triple on A that is build upon the geometry of A(G) and G. We compare our construction with a selection of established examples. (C)& nbsp;2021 The Author(s). Published by Elsevier Inc.

引用

页数：36

共 63 条

[1] On nonperturbative quantum field theory and noncommutative geometry [J].