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Partial projective representations and partial actions |
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| Authors: | M Dokuchaev B Novikov |
| Institution: | a Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, CEP 05508-090, São Paulo, SP, Brazil b Kharkov National University, Svobody sq., 4, 61077, Kharkov, Ukraine |
| Abstract: | The concept of a partial projective representation of a group is introduced and studied. The interaction with partial actions is explored. It is shown that the factor sets of partial projective representations over a field K are exactly the K-valued twistings of crossed products by partial actions. |
| Keywords: | Primary 20C25 secondary 20M30 20M50 |
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