4 citations · 5 across the 10 of their papers we have counts for
11 papers
Irreducible Quotient Maps From Locally Compact Separable Metric Spaces
Aldo J. Lazar, Douglas W. B. Somerset
Let X be a Hausdorff quotient of a standard space (that is of a locally compact separable metric space). It is shown that the following are equivalent: (i) X is the image of an irr…
Pure quotients and Morita's theorem for $k_ω-spaces
Aldo J. Lazar, Douglas W. B. Somerset
A -space is a Hausdorff quotient of a locally compact, -compact Hausdorff space. A theorem of Morita's describes the structure of when the quotient map is closed, b…
The structure of k_ω spaces and a question of Arhangel'skii's
A. J. Lazar, D. W. B. Somerset
In 2010 a question of Arhangel'skii's highlighted a gap in the knowledge of k_ω-spaces. His specific question had in fact been answered by Siwiec in 1976, but the highlighted gap s…
Glimm Spaces of Separable C*-algebras
Aldo J. Lazar, Douglas W. B. Somerset
We characterize the topology of the Glimm space of a separable C*-algebra and extend the main result of [6] to non-unital AF C*-algebras.
Norms of inner derivations for multiplier algebras of C*-algebras and group C*-algebras, II
Robert J. Archbold, Eberhard Kaniuth, Douglas W. B. Somerset
The derivation constant has been extensively studied for \emph{unital} non-commutative -algebras. In this paper, we investigate properties of …
Spectral synthesis in the multiplier algebra of a C_0(X)-algebra
R. J. Archbold, D. W. B. Somerset
Let A be a C_0(X)-algebra. Then the multiplier algebra M(A) is a C(Y)-algebra in a natural way, where Y is the Stone-Cech compactification of X. Each x in X gives rise to an ideal…