The Spectral Radius Formula in Quotient Algebras.
The stabilisation trick for coactions.
The stable range of C*-algebras.
The standard form of von Neumann algebras.
The State Space of the K0-group of a Simple Separable C*-algebra.
The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras
Following Jansen and Waldmann, and Kajiwara and Watatani, we introduce notions of coactions of a finite-dimensional C*-Hopf algebra on a Hilbert C*-bimodule of finite type in the sense of Kajiwara and Watatani and define their crossed product. We investigate their basic properties and show that the strong Morita equivalence for coactions preserves the Rokhlin property for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras.
The structure of higher-dimensional noncommutative tori and metric diophantine approximation.
The structure of multiplication and addition in simple C*-algebras.
The Structure of the Crossed Product C*-Algebras: A Proof of the Generalized Effros-Hahn Conjecture.
The structure of the Haar systems on locally compact groupoids.
The theorem on unitary equivalence of Fock representations
The Theory and Structure of Dual JB-Algebras.
The Tomita operator for the free scalar field
The topological snake lemma and corona algebras.
The trace class is a -algebra.
The trace in semi-finite von Neumann algebras.
The trace of finite and nuclear elements in Banach algebras
The Type of Group Measure Space von Neumann Algebras.
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
The unitary implementation of a measured quantum groupoid action
Mimicking the von Neumann version of Kustermans and Vaes’ locally compact quantum groups, Franck Lesieur had introduced a notion of measured quantum groupoid, in the setting of von Neumann algebras. In a former article, the author had introduced the notions of actions, crossed-product, dual actions of a measured quantum groupoid; a biduality theorem for actions has been proved. This article continues that program: we prove the existence of a standard implementation for an action, and a biduality...