TY - JOUR
AU - Deaconu, Valentin
AU - Huang, Leonard
PY - 2023/10/19
Y2 - 2024/04/15
TI - Group Actions on Product Systems
JF - New Zealand Journal of Mathematics
JA - NZ J Math
VL - 54
IS -
SE - Articles
DO - 10.53733/311
UR - https://nzjmath.org/index.php/NZJMATH/article/view/311
SP - 33--47
AB - <p>We introduce the concept of a crossed product of a product system by a locally compact group. We prove that the crossed product of a row-finite and faithful product system by an amenable group is also a row-finite and faithful product system. We generalize a theorem of Hao and Ng about the crossed product of the Cuntz-Pimsner algebra of a $C^{\ast}$-correspondence by a group action to the context of product systems. We present examples related to group actions on $k$-graphs and to higher rank Doplicher-Roberts algebras.</p>
ER -