arXiv subjects
Publications and source records attributed to Laerte Bemm.
We introduce twisted partial actions of groupoids and establish necessary and sufficient conditions for the existence of a globalization. We prove that the crossed products associated with a twisted partial action and with its globalization are Morita equivalent. Finally, we extend partial projective representations and partial Schur multipliers to the groupoid setting and describe their interaction with twisted partial actions of groupoids.
In this paper we work with unital twisted partial actions. We investigate ring theoretic properties of partial crossed products as artinianity, noetherianity, perfect property, semilocalproperty, semiprimary property and we also study the Krull dimension. Moreover, we consider triangular matrix representation of partial skew group rings, weak and global dimensions of partial crossed products Also we study when the partial crossed products are Frobenius and symmetric algebras.