On generalized partial twisted smash products

Guo, Shuangjian

doi:10.1007/s10587-014-0131-8

Czech Math J

2014

DOI: 10.1007/s10587-014-0131-8

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On generalized partial twisted smash products

Shuangjian Guo¹

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Cited by 2 publications

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Enveloping actions for twisted partial actions

Guo¹,

Wang²

2014

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Let A# α,ω H be a partial crossed product. In this paper, we first generalize the theorem about the existence of an enveloping action to twisted partial actions. Second, we construct a Morita context between the partial crossed product and the crossed product related to the enveloping action. Furthermore, we discuss equivalences of partial crossed products Finally, we investigate when A ⊂ A# α,ω H becomes a separable extension.

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Enveloping actions for twisted partial actions

Guo¹,

Wang²

2014

Preprint

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Enveloping actions and duality theorems for partial twisted smash products

Guo¹,

Wang²

2015

Preprint

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In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Second, we construct a Morita context between the partial twisted smash product and the twisted smash product related to the enveloping action. Furthermore, we show some results relating partial actions and partial representations over the partial twisted smash products, which generalize the results of Alves and Batista (Comm. Algebra, 38(8): 2872-2902, 2010. Finally, we present versions of the duality theorems of Blattner-Montgomery for partial twisted smash products.

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On generalized partial twisted smash products

Cited by 2 publications

References 8 publications

Enveloping actions for twisted partial actions

Enveloping actions for twisted partial actions

Enveloping actions and duality theorems for partial twisted smash products

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