Recent developments around partial actions

M Dokuchaev - São Paulo Journal of Mathematical Sciences, 2019 - Springer
We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

Partial actions: a survey

M Dokuchaev - Contemp. Math, 2011 - books.google.com
In the theory of C∗-algebras a concept of a partial action was introduced as an efficient tool
of their study, permitting to characterize various important classes of C∗-algebras as …

On the induced partial action of a quotient group and a structure theorem for a partial Galois extension.

JM Kuo, G Szeto - International Journal of Algebra & …, 2023 - search.ebscohost.com
Let S be a ring with a partial action α of a finite group G. We determine when a quotient
group of G gives rise to a partial action induced by α on a subring of S. As an application, we …

Partial Galois cohomology and related homomorphisms

M Dokuchaev, A Paques… - The Quarterly Journal of …, 2019 - academic.oup.com
oup_qmathj_hay062 1..30 ++ Page 1 PARTIAL GALOIS COHOMOLOGY AND RELATED
HOMOMORPHISMS by M. DOKUCHAEV † (Instituto de Matemática e Estatística, Universidade …

Morita equivalence of partial group actions and globalization

F Abadie, M Dokuchaev, R Exel, J Simón - Transactions of the American …, 2016 - ams.org
We consider a large class of partial actions of groups on rings, called regular, which
contains all $ s $-unital partial actions as well as all partial actions on $ C^{\ast} $-algebras …

Globalization of twisted partial Hopf actions

MMS Alves, E Batista, M Dokuchaev… - Journal of the Australian …, 2016 - cambridge.org
GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS Page 1 J. Aust. Math. Soc. 101 (2016),
1–28 doi:10.1017/S1446788715000774 GLOBALIZATION OF TWISTED PARTIAL HOPF …

The structure of a partial Galois extension

JM Kuo, G Szeto - Monatshefte für Mathematik, 2014 - Springer
In this paper, we present an easy way to construct partial Galois extensions; in particular,
any direct sum of finitely many Galois extensions forms a partial Galois extension. The idea …

Partial generalized crossed products, Brauer groups and a comparison of seven-term exact sequences

M Dokuchaev, H Pinedo, I Rocha - arXiv preprint arXiv:2411.00494, 2024 - arxiv.org
Given a unital partial action $\alpha $ of a group $ G $ on a commutative ring $ R $ we
denote by ${\bf PicS} _ {R^{\alpha}}(R) $ the Picard monoid of the isomorphism classes of …

The commutative inverse semigroup of partial abelian extensions

D Bagio, A Cañas, V Marín, A Paques… - Communications in …, 2022 - Taylor & Francis
This paper is a new contribution to the partial Galois theory of groups. First, given a unital
partial action αG of a finite group G on an algebra S such that S is an α G-partial Galois …

The structure of a partial Galois extension II

JM Kuo, G Szeto - Journal of Algebra and Its Applications, 2016 - World Scientific
Let (S, α) be a partial Galois extension where α is a partial action of a finite group on a ring S
such that the associated ideals are generated by central idempotents. We determine the set …