# Involutions and Trivolutions in Algebras Related to Second Duals of Group Algebras

@article{Filali2012InvolutionsAT,
title={Involutions and Trivolutions in Algebras Related to Second Duals of Group Algebras},
author={Mahmoud Filali and Mehdi Sangani Monfared and Ajit Iqbal Singh},
journal={arXiv: Functional Analysis},
year={2012}
}
• Published 30 November 2012
• Mathematics
• arXiv: Functional Analysis
We define a trivolution on a complex algebra $A$ as a non-zero conjugate-linear, anti-homomorphism $\tau$ on $A$, which is a generalized inverse of itself, that is, $\tau^3=\tau$. We give several characterizations of trivolutions and show with examples that they appear naturally on many Banach algebras, particularly those arising from group algebras. We give several results on the existence or non-existence of involutions on the dual of a topologically introverted space. We investigate… Expand
2 Citations
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