Invitation à la théorie des algèbres stellaires
Isometries between C*-algebras
Isometries between groups of invertible elements in C*-algebras
We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Isometries of Banach Algebras Satisfying the von Neumann Inequality.
Isometries of the unitary groups in C*-algebras
We give a complete description of the structure of surjective isometries between the unitary groups of unital C*-algebras. While any surjective isometry between the unitary groups of von Neumann algebras can be extended to a real-linear Jordan *-isomorphism between the relevant von Neumann algebras, this is not the case for general unital C*-algebras. We show that the unitary groups of two C*-algebras are isomorphic as metric groups if and only if the C*-algebras are isomorphic in the sense that...
Isomorphic groupoid -algebras associated with different Haar systems.
Isomorphisms and generalized derivations in proper -algebras.
Isomorphisms of Hilbert C*-modules and *-isomorphisms of related operator C*-algebras.
Iterating the Pimsner construction.