THE FIRST COHOMOLOGY GROUP OF BANACH INVERSE SEMIGROUP ALGEBRAS WITH COEFFICIENTS IN -EMBEDDED BANACH BIMODULES

Research

Title	THE FIRST COHOMOLOGY GROUP OF BANACH INVERSE SEMIGROUP ALGEBRAS WITH COEFFICIENTS IN -EMBEDDED BANACH BIMODULES
Type	JournalPaper
Keywords	Banach inverse semigroup algebra, first cohomology group, derivation.
Year	2020
Journal	Bulletin of the Australian Mathematical Society
DOI
Researchers	Hoger Ghahramani

Abstract

Let S be a discrete inverse semigroup, l1(S ) the Banach semigroup algebra on S and X a Banach l1(S )-bimodule which is an L-embedded Banach space. We show that under some mild conditions H1(l1(S ); X) = 0. We also provide an application of the main result.

Hoger Ghahramani

Research

Abstract