Automorphisms of Inductive Limit $C^*$-Algebras.

Time Automorphisms on C ∗ - Algebras

Applications of fractional time derivatives in physics and engineering require the existence of nontranslational time automorphisms on the appropriate algebra of observables. The existence of time automorphisms on commutative and noncommutative C∗-algebras for interacting many-body systems is investigated in this article. A mathematical framework is given to discuss local stationarity in time a...

On the asymptotic homotopy type of inductive limit <Emphasis Type="Italic">C </Emphasis> <Superscript>* </Superscript>-algebras

Let X, Y be compact, connected, metrisable spaces with base points Xo, Yo and let denote the compact operators. It is shown that Co(X\xo)| is asymptotically homotopic (or shape equivalent) to Co(Y~yo) @ Yi r if and only if X and Y have isomorphic K-groups. Similar results are obtained for certain inductive limits of nuclear C*-algebras. Let ~r denote the category whose objects are all the separ...

Inductive Limit Algebras from Periodic Weighted Shifts on Fock Space

Noncommutative multivariable versions of weighted shift operators arise naturally as ‘weighted’ left creation operators acting on the Fock space Hilbert space. We identify a natural notion of periodicity for these N tuples, and then find a family of inductive limit algebras determined by the periodic weighted shifts which can be regarded as noncommutative multivariable generalizations of the Bu...

Structure of the Group of Automorphisms of C-algebras

We obtain a kind of structure theorem for the automorphism group AutA of a unital C-algebra A. According to it, AutA can be regarded as a subgroup of the semi-direct product of direct product group consisting of some family of projective unitary groups and some permutation group on the spectrum of A.

Automorphisms of Operator Algebras