AbstractThe simplest statement of the main results are these: Let π be a free group on 2 generators. Let Cπ be the complex ring and L1π the ring extension to L1 sums. Then L1π contains no idempotents. Furthermore, if α ϵ Cπ, β ϵ L1π are nonzero, then αβ ≠ 0. The first result is in the direction of proving that a certain simple C∗-algebra has no idempotents yielding a counter-example to the suggestion that simple C∗-algebras are generated by their projections
AbstractLet A be a C∗-algebra generated by a nonself-adjoint idempotent e, and put K:=sp(e∗e)∖{0}. I...
AbstractThe topic of the present paper is concrete Banach andC*-algebras which are generated by a fi...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
AbstractThe simplest statement of the main results are these: Let π be a free group on 2 generators....
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
Let \Gamma be a group, and let C \Gamma be the group ring of \Gamma over C . We first give a simplif...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
C*(F2) is a primitive C*-algebra with no nontrivial projection. C*(F2) has a separating family of fi...
Let $G$ be a group and $X(G)$ its Sidki Double. The idempotent conjecture says that there should be ...
In 1981, Laffey described subalgebras of associative algebras generated by two idempotents, and show...
In 1981, Laffey described subalgebras of associative algebras generated by two idempotents, and show...
AbstractWe consider a condition on a group G, that was studied by Strebel and independently by Stroj...
An algebra A is plain if it is nite, simple and has no non-trivial proper subalgebras. An element 0 ...
AbstractLet A be a C∗-algebra generated by a nonself-adjoint idempotent e, and put K:=sp(e∗e)∖{0}. I...
AbstractThe topic of the present paper is concrete Banach andC*-algebras which are generated by a fi...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...
AbstractThe simplest statement of the main results are these: Let π be a free group on 2 generators....
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
Let \Gamma be a group, and let C \Gamma be the group ring of \Gamma over C . We first give a simplif...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
Let N and H be groups, and let G be an extension of H by N. In this article, we describe the structu...
C*(F2) is a primitive C*-algebra with no nontrivial projection. C*(F2) has a separating family of fi...
Let $G$ be a group and $X(G)$ its Sidki Double. The idempotent conjecture says that there should be ...
In 1981, Laffey described subalgebras of associative algebras generated by two idempotents, and show...
In 1981, Laffey described subalgebras of associative algebras generated by two idempotents, and show...
AbstractWe consider a condition on a group G, that was studied by Strebel and independently by Stroj...
An algebra A is plain if it is nite, simple and has no non-trivial proper subalgebras. An element 0 ...
AbstractLet A be a C∗-algebra generated by a nonself-adjoint idempotent e, and put K:=sp(e∗e)∖{0}. I...
AbstractThe topic of the present paper is concrete Banach andC*-algebras which are generated by a fi...
The three famous problems concerning units, zero-divisors and idempotents in group rings of torsion-...