Left amenability and left contractibility of Lau algebras

Ali Jabbari

doi:10.1556/sscmath.51.2014.3.1282

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 51: Issue 3

Left amenability and left contractibility of Lau algebras

Author:

Ali Jabbari

Ali Jabbari Islamic Azad University Young Researchers and Elite Club, Ardabil Branch Ardabil Iran

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Pages:: 407–427

Online Publication Date:: 26 Aug 2014

Publication Date:: 01 Sep 2014

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.51.2014.3.1282

Keywords:: Primary 46H20; Secondary 43A20; Lau algebras; left amenability; left contractibility

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In this paper we study left amenability of Lau algebras by introducing left approximate diagonal and virtual diagonal for Lau algebras. Some results related to Hahn-Banach theorem property on foundation topological semigroups are obtained. We introduce the left contractibility of Lau algebras. Some examples for clarifying that left contractibility of Lau algebras is stronger than left amenability of them are given.

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Studia Scientiarum Mathematicarum Hungarica

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