The boundedness principle for lattice-normed spaces.
The C*-algebras of codimension one foliations without holonomy.
The category of Banach spaces in sheaves
The cyclic homology of affine algebras.
The cyclic homology of crossed product algebras.
The cyclic homology of crossed product algebras, II. Topological algebras.
The geometry of a closed form
It is proved that a closed r-form ω on a manifold M defines a cohomology (called ω-coeffective) on M. A general algebraic machinery is developed to extract some topological information contained in the ω-coeffective cohomology. The cases of 1-forms, symplectic forms, fundamental 2-forms on almost contact manifolds, fundamental 3-forms on -manifolds and fundamental 4-forms in quaternionic manifolds are discussed.
The Mayer-Vietoris and the Puppe sequences in K-theory for C*-algebras
The signature package on Witt spaces
In this paper we prove a variety of results about the signature operator on Witt spaces. First, we give a parametrix construction for the signature operator on any compact, oriented, stratified pseudomanifold which satisfies the Witt condition. This construction, which is inductive over the ‘depth’ of the singularity, is then used to show that the signature operator is essentially self-adjoint and has discrete spectrum of finite multiplicity, so that its index—the analytic signature of —is well-defined....
The spatial flatness and injectiveness of Connes operator algebras.
The Stability of the Euler Characteristic for Hilbert Complexes.
The stable range of C*-algebras.
The structure of a subclass of amenable Banach algebras.
Topological localization in Fréchet algebras.
Transformation groupoids and bundles of Banach spaces
Trivial bundles of spaces of probability measures and countable-dimensionality
The probability measure functor P carries open continuous mappings of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers are infinite. This answers a question raised by V. Fedorchuk.
Twisted crossed products of C*-algebras. II.