On the automorphism group of certain simple $C^*$-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.

K-homology of Certain Group C*-algebras

Motivated by the search for new examples of “noncommutative manifolds”, we study the noncommutative geometry of the group C*-algebras of various discrete groups. The examples we consider are the infinite dihedral group Z×σZ2 and the semidirect product group Z×σZ. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

Fredholm Modules over Certain Group C*-algebras

Motivated by the search for new examples of “noncommutative manifolds”, we study the noncommutative geometry of the group C*-algebras of various discrete groups. The examples we consider are the infinite dihedral group Z×σZ2 and the semidirect product group Z×σZ. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.

On Automorphism Groups of C*-algebras

Classification of Certain Simple C ∗ - Algebras with Torsion

We show that the Elliott invariant is a classifying invariant for the class of C∗-algebras that are simple unital infinite dimensional inductive limits of sequences of finite direct sums of building blocks of the form {f ∈ C(T) ⊗ Mn : f(xi) ∈ Mdi , i = 1, 2, . . . , N}, where x1, x2, . . . , xN ∈ T, d1, d2, . . . , dN are integers dividing n, and Mdi is embedded unitally into Mn. Furthermore we...