A. Lazar

If $A$ is a $σ$ -unital $C^{*}$ -algebra and $a$ is a strictly positive element of $A$ then for every compact subset $K$ of the complete regularization $Glimm (A)$ of $\mathrm{…

math.OA2011★ 1 cited

Centers of $C^{*}$ -algebras rich in modular ideals

Aldo J. Lazar

We provide, in the spirit of a 1968 paper of C. Delaroche, new conditions under which a $C^{*}$ -algebra has a nonzero center.We also present an example of a (separable) AF algebra wi…

math.OA2009

Topological properties of spaces of ideals of the minimal tensor product

Aldo J. Lazar

One shows that for two C^*-algebras A_1 and A_2 any continuous function on Prim(A_1)\times Prim(A_2) can be continuously extended to Prim(A_1\otimes A_2) provided it takes its valu…

math.OA2009★ 3 cited

The space of ideals in the minimal tensor product of $C^{*}$ -algebras

Aldo J. Lazar

For $C^{*}$ -algebras $A_{1}, A_{2}$ the map $(I_{1}, I_{2}) \to k er (q_{I_{1}} \otimes q_{I_{2}})$ from $I d^{'} (A_{1}) \times I d^{'} (A_{2})$ into $Id^{\prime}(A_1\otimes_{\mathrm{min}} A_2) is…

Glimm Spaces of Separable C*-algebras

Continuous Fields of Postliminal C*-algebras

Compact Subsets of the Glimm Space of a C∗-algebra

Centers of C∗-algebras rich in modular ideals

Topological properties of spaces of ideals of the minimal tensor product

The space of ideals in the minimal tensor product of C∗-algebras

Compact Subsets of the Glimm Space of a $C^{*}$ -algebra

Centers of $C^{*}$ -algebras rich in modular ideals

The space of ideals in the minimal tensor product of $C^{*}$ -algebras