TY  - JOUR
AB  - Given a group cocycle on a finitely aligned left cancellative small category (LCSC), we investigate the associated skew product category and its Cuntz–Krieger algebra, which we describe as the crossed product of the Cuntz–Krieger algebra of the original category by an induced coaction of the group. We use our results to study Cuntz–Krieger algebras arising from free actions of groups on finitely aligned LCSCs, and to construct coactions of groups on Exel–Pardo algebras. Finally, we discuss the universal group of a small category and connectedness of skew product categories.
AU  - Bédos, Erik
AU  - Kaliszewski, S.
AU  - Quigg, John
DA  - 2021
DO  - 10.17879/59019527597
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 59
PY  - 2021
SP  - 59-99
T2  - Münster Journal of Mathematics
TI  - Skew products of finitely aligned left cancellative small categories and Cuntz-Krieger algebras
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-59019533117
Y2  - 2024-11-22T08:21:55
ER  -