Tree constructions of free continuous algebras

Tree Constructions of Free Continuous Algebras

Purely Infinite Simple C-algebras Arising from Free Product Constructions

Examples of simple, separable, unital, purely infinite C–algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a certain class of C∗–algebras by any of a certain class of non–unital endomorphisms; (3) those that arise as reduced free products of pairs of C–algebras with respect to any from a certain class of states...

Constructions of Dgbv Algebras from Lie Algebras

We give some constructions of diierential Gerstenhaber-Batalin-Vilkovisky algebras from a class of Lie algebras. In our construction, we make use of the solutions to the classical Yang-Baxter equations, and ideas from Poisson geometry. A graded commutative algebra (A; ^) with a bracket ] of degree?1 is called a G-algebra (Gerstenhaber algebra) if: (a) (A1]; ]) is a Lie algebra, where A1] is A w...

Completely continuous Banach algebras

 For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto  fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an o...

Algebras from Standard Constructions