The Point in Weak Semiprojectivity and AANR Compacta
Operator Algebras
2014-01-16 v2 General Topology
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 can fail to be WSP while its unitization is WSP. Another example shows WSP1 is not closed under direct sums.
Keywords
Cite
@article{arxiv.1104.5265,
title = {The Point in Weak Semiprojectivity and AANR Compacta},
author = {Terry A. Loring},
journal= {arXiv preprint arXiv:1104.5265},
year = {2014}
}
Comments
Corrected the statement of Theorem 4.16(b)