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 …

[PDF][PDF] Partial actions: a survey

M Dokuchaev - Contemp. Math, 2011 - researchgate.net
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 …

Partial actions: what they are and why we care

E Batista - Bulletin of the Belgian Mathematical Society-Simon …, 2017 - projecteuclid.org
EXPOSITORY PAPER Partial actions: what they are and why we care Page 1 EXPOSITORY
PAPER Partial actions: what they are and why we care Eliezer Batista Abstract We present a …

[HTML][HTML] Partial cohomology of groups

M Dokuchaev, M Khrypchenko - Journal of Algebra, 2015 - Elsevier
Partial cohomology of groups - ScienceDirect Skip to main contentSkip to article Elsevier logo
Journals & Books Search RegisterSign in View PDF Download full issue Search ScienceDirect …

Crossed products by twisted partial actions: separability, semisimplicity, and Frobenius properties

D Bagio, J Lazzarin, A Paques - Communications in Algebra, 2010 - Taylor & Francis
Full article: Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and
Frobenius Properties Skip to Main Content Taylor and Francis Online homepage Browse Search …

Dilations of partial representations of Hopf algebras

MMS Alves, E Batista… - Journal of the London …, 2019 - Wiley Online Library
We introduce the notion of a dilation for a partial representation (that is, a partial module) of
a Hopf algebra, which in case the partial representation origins from a partial action (that is …

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 …

Globalization for geometric partial comodules

P Saracco, J Vercruysse - Journal of Algebra, 2022 - Elsevier
We discuss globalization for geometric partial comodules in a monoidal category with
pushouts and we provide a concrete procedure to construct it, whenever it exists. The mild …

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 …

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 …