A K-Theoritic Approach to Some C*-Algebras

Some result on simple hyper K-algebras

A simple method is described, to prove some theorems for simple hyper K-algebras and to study positive implicative hyper K-ideals, weak (implicative ) hyper K-ideals in simple hyper K-algebras . Beside, some results on positive implicative and (weak) implicative simple hyper K-algebras are presented. Finally classification of simple hyper Kalgebras of order 4, which are satisfied in conditions ...

K-theory of Some C*-algebras and Buildings

We compute an exact formula for the order of the class of the identity in the K 0 group of an infinite class of two-dimensional Kuntz-Crieger algebras.

A Functorial Approach to Group C∗-Algebras

Let A be the category of unital C∗-algebras. A counterexample is given to show that the unitary group functor U : A −→ Grp (and hence the composite of the forgetful functor G : Grp −→ Set with U) although being a faithful right adjoint, fails to be algebraic even in the commutative case. In so doing, a canonical presentation of any unital C∗-algebra as a quotient of a free product of copies (i....

A Review on Hyper K-algebras

A new approach to characterization of MV-algebras

By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and wecarry out a study on characterization of MV-algebras of orders $2$, $3$, $4$, $5$, $6$ and $7$. We obtain that there is one non-isomorphic MV-algebra of orders $2$, $3$, $5$ and $7$ and two non-isomorphic MV-algebras of orders $4$ and $6$.

K-theory for operator algebras. Classification of C∗-algebras

In this article we survey some of the recent goings-on in the classification programme of C-algebras, following the interesting link found between the Cuntz semigroup and the classical Elliott invariant and the fact that the Elliott conjecture does not hold at its boldest. We review the construction of this object both by means of positive elements and via its recent interpretation using counta...