On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras

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.

Smoothness Theorem for Differential Bv Algebras

Given a differential Batalin-Vilkovisky algebra (V,Q,∆, ·), the associated odd differential graded Lie algebra L := (V,Q + ∆, [ , ]) is always smooth formal. The more interesting consideration is whether the quantum dgLa L~ := (V [[~]],Q+ ~∆, [ , ]) is smooth formal. When it is (for example when a Q-∆ version of the ∂-∂ Lemma holds) there is a weak-Frobenius manifold structure on the homology o...

Differential Algebras on Semigroup Algebras

This paper studies algebras of operators associated to a semigroup algebra. The ring of differential operators is shown to be anti-isomorphic to the symmetry algebra and both are described explicitly in terms of the semigroup. As an application, we produce a criterion to determine the equivalence of A-hypergeometric systems. Conditions under which associated algebras are finitely generated are ...

amenability of banach algebras

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...

Free skew Boolean algebras