The first cohomology groups of nest algebras on normed spaces

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

The Cohomology of Algebras over Moduli Spaces

The purpose of this paper is to introduce the cohomology of various algebras over an operad of moduli spaces including the cohomology of conformal field theories (CFT’s) and vertex operator algebras (VOA’s). This cohomology theory produces a number of invariants of CFT’s and VOA’s, one of which is the space of their infinitesimal deformations. The paper is inspired by the ideas of Drinfeld [5],...

First non-abelian cohomology of topological groups II

In this paper we introduce a new definition of the first non-abelian cohomology of topological groups.  We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-a...

First Cohomology on Weighted Semigroup Algebras

The aim of this work is to generalize Johnson’s techniques in order to apply them to establish a bijective correspondence between S-derivations and continuous derivations on Ma(S, ω), where S is a locally compact foundation semigroup with identity e, and ω is a weight function on S, and apply it to find a necessary condition for amenability of weighted group algebras.

First Order Cohomology of l^1-Munn Algebras and Certain Semigroup Algebras