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Decomposition of idempotent 2-cocycles

Christos Lamprakis, Theodora Theohari-Apostolidi Colloquium Mathematicum MSC: Primary 16S35; Secondary 11S25. DOI: 10.4064/cm8720-3-2022 Published online: 4 August 2022

Abstract

Let $L$ be a finite Galois field extension of $K$ with Galois group $G$. We decompose any idempotent 2-cocycle $f$ using finite sequences of descending two-sided ideals of the corresponding weak crossed product algebra $A_f$. We specialize the results in case $f$ is the corresponding idempotent 2-cocycle $f_r$ for some semilinear map $r:G\rightarrow \Omega $, where $\Omega $ is a multiplicative monoid with minimum element.

Authors

  • Christos LamprakisSchool of Mathematics
    Aristotle University of Thessaloniki
    Thessaloniki 54124, Greece
    e-mail
  • Theodora Theohari-ApostolidiSchool of Mathematics
    Aristotle University of Thessaloniki
    Thessaloniki 54124, Greece
    e-mail

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