Trace scaling automorphisms of a stable AF algebra with dimension group totally ordered are outer conjugate if the scaling factors are the same (not equal to one).

By the recent classification theorems of Kirchberg and Phillips [15, 22], a certain class of purely infinite simple Câˆ—-algebras is now classified by K-theoretic data. This class includes inductiveâ€¦ (More)

We prove that the pure state space is homogeneous under the action of the automorphism group (or the subgroup of asymptotically inner automorphisms) for all the separable simple C-algebras. The firstâ€¦ (More)

A large class of simple stably projectionless C*-algebras are shown to arise as crossed products of simple purely infinite C*-algebras by trace scaling one-parameter automorphism groups. The Elliottâ€¦ (More)

We prove that the pure state space is homogeneous under the action of the automorphism group (or a certain smaller group of approximately inner automorphisms) for a fairly large class of simpleâ€¦ (More)

We study representations of the Cuntz algebras Od and their associated decompositions. In the case that these representations are irreducible, their restrictions to the gauge-invariant subalgebraâ€¦ (More)

We show that invariant states of C-dynamical systems can be approximated in the weak-topology by invariant pure states, or almost invariant pure states, under various circumstances. AMS Subjectâ€¦ (More)

B. Blackadar [1] constructed for the first time an example of a symmetry (or an automorphism of period two) of the CAR algebra (or the UHF algebra of type 2) whose fixed point algebra is not AF (orâ€¦ (More)

By a flow on a unital C-algebra A we mean a strongly continuous one-parameter automorphism group. The infinitesimal generator Î´Î± of a flow Î± is a closed derivation in A, by which we mean that Î´Î± is aâ€¦ (More)