In this paper we study the index, denoted by Index [italic]E, for conditional expectations [italic]E on [italic]C*-algebras, which is a generalization of the index for subfactors by Jones and Kosaki. The notion of the index is related with coring structure, separable extension,…
In this paper a [italic capital]K-theoretic classification is given of the real rank zero [italic capital]C*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with multiple vertices). T…
This work describes a general construction of a deformation quantization for an Poisson bracket on a manifold which comes from an action of [italic capital]R[superscript italic]d on that manifold. These deformations quantizations are strict, in the sense that the deformed produc…