Certain actions of finite abelian groups on higher dimensional noncommutative tori

Titelaufnahme

Titel
Certain actions of finite abelian groups on higher dimensional noncommutative tori
Verfasser
He, Zhuofeng
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 473-495
Erschienen
2019
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-53149722539
DOI
10.17879/53149722293

Zugriffsbeschränkung

Links

Dateien

Klassifikation

Abstract

We study matrix type actions of finite abelian groups on simple higher dimensional noncommutative tori. For a given dimension d and a finite abelian group G, we apply a certain function to detect whether there is a simple noncommutative d-torus which admits such an action of G. For possible cases, we construct all such actions of G, and compute the K-theory of the resulting crossed products. We also give a necessary and sufficient condition of G under which the resulting crossed product is an AF algebra.

Statistik