A note on twisted crossed products and spectral triples

被引：3

作者：

Antonini, P. ^{[1
]}

Guido, D. ^{[2
]}

Isola, T. ^{[2
]}

Rubin, A. ^{[3
]}

机构：

[1] Univ Salento, I-73100 Lecce, Italy

[2] Univ Roma Tor Vergata, I-00133 Rome, Italy

[3] Scuola Int Super Studi Avanzati SISSA, I-34136 Trieste, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 180卷

基金：

欧洲研究理事会;

关键词：

Spectral triples; Twisted crossed products; Noncommutative coverings; OPERATORS; BUNDLES;

D O I：

10.1016/j.geomphys.2022.104640

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting with a spectral triple on a unital C*-algebra A with an action of a discrete group G, if the action is uniformly bounded (in a Lipschitz sense) a spectral triple on the reduced crossed product C*-algebra A Sic(r) G is constructed in [23]. The main instrument is the Kasparov external product. We note that this construction still works for twisted crossed products when the twisted action is uniformly bounded in the appropriate sense. Under suitable assumptions we discuss some basic properties of the resulting triples: summability and regularity. Noncommutative coverings with finite abelian structure group are among the most basic, still interesting, examples of twisted crossed products; we describe their main features. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：25

共 44 条

[1] Spectral triples for noncommutative solenoidal spaces from self-coverings [J].