Automorphism Groups of Jordan C*-Algebras.
Bergelson's theorem for weakly mixing C*-dynamical systems
We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.
Bicrossproduct Kac Algebras, Bicrossproduct Groups and von Neumann Algebras of Takesaki's Type.
algebras associated with von Neumann algebras
Ad un'algebra di von Neumann separabile , in forma standard su di uno spazio di Hilbert , si associa la algebra definita come la algebra costituita dai punti fissi dell'algebra di Cuntz generalizzata mediante l'azione canonica del gruppo degli unitari di . Si dà una caratterizzazione di nel caso in cui è un fattore iniettivo. In seguito, come applicazione della teoria dei sistemi asintoticamente abeliani, si mostra che, se è uno stato vettoriale normale e fedele di , la restrizione...
-cross products and a generalized quantum mechanical -body problem.
C*-algebra of the -tree.
C*-algebraic generalization of relative entropy and entropy
C*-Algebras Associated with Cellular Automata.
C*-algebras associated with rotation groups and characters.
C*-Algebras of Dynamical Systems on the Non-Commutative Torus.
Cartan Subalgebras in Fixed Point Algebras of Finite Group Actions.
Central sequences in the factor associated with Thompson’s group
We prove that the type factor generated by the regular representation of is isomorphic to its tensor product with the hyperfinite type factor. This implies that the unitary group of is contractible with respect to the topology defined by the natural Hilbertian norm.
Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras.
Classification of C*-algebras admitting ergodic actions of the two-dimensional torus.
Classification of injective factors: The work of Alain Connes.
Coactions and fell bundles.
Cohomology cyclique des products croisés tordus.
Commutants of unbounded derivations in C*-algebras.
Commutators and generators.
Compact Operators in Type III... and Type III... Factors.