Cyclic Cohomology Group and Cyclic Amenability of Induced Semigroup Algebras
Abstract
abstract: Let S be a discrete semigroup with idempotent set E and T be a left multiplier operator on S,
which makes it a newly induced semigroup ST with idempotent set ET . In this paper while examining the
properties of inducted semigroup algebra `1ST , we show that under certain conditions for T, the rst cyclic
cohomology groups HC1`1S; `
S and HC1`1ST ; `
ST are equal, where S be a monoid semigroup.
We also show in another section, when S is a completely regular semigroup, then the semigroup algebra `1ST
is cyclic amenable. Finally, by providing examples at the end of each section, we examine the conditions raised
in this paper.
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