On the dual weights for crossed products of von Neumann algebras I.
On the duality of local observables
On the embedding and diagonalization of matrices over C(X).
On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations
On the extension problem for unbounded measures on projections
On the Fock representation of the q-commutation relations.
On the function .
On the generalized Drazin inverse and generalized resolvent
We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in -algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel....
On the Geometry of Positive Maps in Matrix Algebras.
On the geometry of the unit ball of a C*- algebra.
On the Homomorphic Image of the Center of a C*-Algebra.
On the homomorphisms of sum logics
On the Homotopy Type of the Regular Group of a W*-Algebra.
On the hyperbolic metric on Harnack parts
On the imbedding of normed rings into the ring of operators in Hilbert space
On the index of nonlocal elliptic operators for compact Lie groups
We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.
On the -theory of higher rank graph -algebras.
On the K-theory of the -algebra generated by the left regular representation of an Ore semigroup
We compute the -theory of -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the -theory of these semigroup -algebras in terms of the -theory for the reduced group -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
On the law of large numbers for free identically distributed random variables.
On the Lebesgue decomposition of Gleason measures