| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659518 | Topology and its Applications | 2012 | 14 Pages |
Abstract
We initiate the study of pointed approximative absolute neighborhood retracts. Our motivation is to generate examples of C⁎-algebras that behave in unexpected ways with respect to weak semiprojectivity. We consider both weak semiprojectivity (WSP) and weak semiprojectivity with respect to the class of unital C⁎-algebras (WSP1). For a non-unital C⁎-algebra, these are different properties.One example shows a C⁎-algebra A can fail to be WSP while its unitization is WSP. Another example shows WSP1 is not closed under direct sums.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
