TY  - JOUR
AB  - 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.
AU  - He, Zhuofeng
DA  - 2019
DO  - 10.17879/53149722293
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 473
PY  - 2019
SP  - 473-495
T2  - Münster Journal of Mathematics
TI  - Certain actions of finite abelian groups on higher dimensional noncommutative tori
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-53149722539
Y2  - 2024-11-21T20:34:06
ER  -