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 …

The twisted partial group algebra and (co) homology of partial crossed products

M Dokuchaev, E Jerez - Bulletin of the Brazilian Mathematical Society …, 2024 - Springer
Given a group G and a partial factor set σ of G, we introduce the twisted partial group
algebra κ par σ G, which governs the partial projective σ-representations of G into algebras …

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 …

Partial projective representations and partial actions II

M Dokuchaev, B Novikov - Journal of Pure and Applied Algebra, 2012 - Elsevier
This paper is a continuation of Dokuchaev and Novikov (2010)[8]. The interaction between
partial projective representations and twisted partial actions of groups considered in …

Partial generalized crossed products and a seven-term exact sequence

M Dokuchaev, A Paques, H Pinedo, I Rocha - Journal of Algebra, 2021 - Elsevier
Partial generalized crossed products and a seven-term exact sequence - ScienceDirect Skip
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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 …

Twisted partial actions of Hopf algebras

MMS Alves, E Batista, M Dokuchaev… - Israel journal of …, 2013 - Springer
In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for
twisted partial group actions, partial Hopf actions and twisted actions of Hopf algebras. The …

On partial Galois Azumaya extensions

D Freitas, A Paques - Algebra and Discrete …, 2018 - admjournal.luguniv.edu.ua
Abstract Let\(\alpha\) be a globalizable partial action of a finite group\(G\) over a unital
ring\(R\),\(A= R\star_\alpha G\) the corresponding partial skew group ring,\(R^\alpha\) the …