It follows by a slight extension of the Loomis-Sikorski theorem on Boolean o--algebras
(discovered independently by Loomis and Sikorski, see [8]) that when S is the Stone …

In § 4 we give a naive characterization of the state spaces of C*-algebras with identity. We
begin with some basic definitions and results. Throughout, K will always denote a compact …

Let si be an arbitrary C*-algebra (with identity) and let A be the space of selfadjoint elements
of si. We recall that A is a partially ordered real vector space with positive cone {a* a: aesi}. If …

AC*-algebra A is said to be monotone (respectively monotone σ-) complete if every
increasing net (respectively increasing sequence) of elements in the ordered space Ah of all …

An abelian C∗-algebra is known to be isomorphic to the algebra of all complex continuous
functions vanishing at infinity on its maximal ideal space. In an earlier paper the author …

In [8] the author introduced the notion of the regular monotone completion A of a unital C*-
algebra A as a monotone complete version of Wright's regular cr-completion A of A [15]. The …

1. Introduction. We show that, in any C*-algebra a, convex linear combinations of unitary
operators are uniformly dense in the unit sphere of a. In other terms, the unit sphere in a is …

For a separable unital C⁎-algebra A and a separable McDuff II 1-factor M, we show that the
space H om w (A, M) of weak approximate unitary equivalence classes of unital⁎ …

In the case of a locally compact group which is not necessarily abelian or compact, the
development of the theory of ideals of the group algebra is hindered by the lack of general …

The state space 5 (Λ) of a unital C*-algebra A becomes a compact convex set when
equipped with the weak* topology, and this fact has been the motivati for much of the …