Invertible Lax Entwining Structures and C-Cleft Extensions

Calvo, Carlos Soneira

doi:10.1007/978-3-319-32902-4_18

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2018

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“…The authors extend this fact to the general context of lax Galois extensions in a symmetric monoidal category, by introducing lax C-cleft extensions and proving that the lax C-cleft extensions are exactly the lax C-Galois extensions with normal basis. Further results on C-Galois extensions, as well as on various types of entwining structures were obtained in [274].…”

Section: Then We Define Thementioning

confidence: 93%

Recent developments around partial actions

Dokuchaev¹

2018

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Section: Then We Define Thementioning

confidence: 93%

Recent developments around partial actions

Dokuchaev¹

2018

Preprint

View full text Add to dashboard Cite

show abstract

Recent developments around partial actions

Dokuchaev

2018

São Paulo J. Math. Sci.

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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 actions of semigroups, of Hopf algebras and groupoids, the globalization problem for partial actions, Morita theory of partial actions, twisted partial actions, partial projective representations and the Schur multiplier, cohomology theories related to partial actions, Galois theoretic results, ring theoretic properties and ideals of partial crossed products. Among the applications we consider in more detail the case of the Carlsen-Matsumoto C *-algebra related to an arbitrary subshift, but also mention many others. The total number of publications directly related to partial actions and partial representations is more than 130, so that it is impossible even to describe briefly the content of all of them within the constraints of the present survey. Thus, the majority of them are only cited with respects to specific topics, trying to give an idea about the involved matter. In order to complete the picture, we refer the reader to a recent book by Ruy Exel, to our previous surveys, as well as to those by other authors.

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Invertible Lax Entwining Structures and C-Cleft Extensions

Cited by 2 publications

References 15 publications

Recent developments around partial actions

Recent developments around partial actions

Recent developments around partial actions

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