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A $C^{*}$ -algebraic Schoenberg theorem

Ola Bratteli, Palle E. T. Jorgensen, Akitaka Kishimoto, Donald W. Robinson (1984)

Annales de l'institut Fourier

Let $𝔄$ be a $C^{*}$ -algebra, $G$ a compact abelian group, $τ$ an action of $G$ by $*$ -automorphisms of $𝔄, 𝔄^{τ}$ the fixed point algebra of $τ$ and $𝔄_{F}$ the dense sub-algebra of $G$ -finite elements in $𝔄$ . Further let $H$ be a linear operator from $𝔄_{F}$ into $𝔄$ which commutes with $τ$ and vanishes on $𝔄^{τ}$ . We prove that $H$ is a complete dissipation if and only if $H$ is closable and its closure generates a $C_{0}$ -semigroup of completely positive contractions. These complete dissipations are classified in terms of certain twisted negative definite...

A $C^{*}$ -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

Paula B. Cohen (1999)

Journal de théorie des nombres de Bordeaux

In this paper we extend to arbitrary number fields a construction of Bost-Connes of a $C^{*}$ -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.

Currently displaying 1 – 20 of 21

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Displaying 1 – 20 of 21

A $C^{*}$ -algebraic Schoenberg theorem

A $C^{*}$ -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking

A Class of C*-Algebras and Topological Markov Chains.

A Class of C-algebras and Topological Markov Chains II: Reducible Chains and the Ext-functor for C-algebras.

A classification of ideals in crossed products.

A decomposition theorem for regular extensions of von Neumann algebras.

A fixed point theorem for C*-crossed products with an Abelian group.

A note on Lebesgue type decomposition for covariant completely positive maps on $C^{*}$ -algebras.

A note on one-parameter groups of automorphisms.

A result on two one-parameter groups of automorphisms.

A structure theorem Lie algebras of unbounded derivations in $C *$ -algebras

Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.

Action moyennable d'un groupe localement compact sur une algebre de von Neumann.

Acyclic groups of automorphisms.

Adding tails to $C^{*}$ -correspondences.

Algèbres de von Neumann de groupes libres et probabilités non commutatives

Amenability for Fell bundles.

Analytic Crossed Products and Outer Conjugacy Classes of Automorphisms of von Neumann Algebras. II.

Analytic crossed products and outer conjugacy classes of automorphisms of von Neumann algebras.

Approximately Finite C*-Algebras and Partial Automorphisms.

Currently displaying 1 – 20 of 21