A Projective C*-Algebra Related to K-Theory
| dc.creator | Loring, Terry A. | |
| dc.date | 2007-05-30 | |
| dc.date | 2008-03-05 | |
| dc.date.accessioned | 2026-07-07T09:40:58Z | |
| dc.date.available | 2026-07-07T09:40:58Z | |
| dc.description | The C*-algebra qC is the smallest of the C*-algebras qA introduced by Cuntz in the context of KK-theory. An important property of qC is the natural isomorphism of K0 of D with classes of homomorphism from qC to matrix algebras over D. Our main result concerns the exponential (boundary) map from K0 of a quotient B to K1 of an ideal I. We show if a K0 element is realized as a homomorphism from qC to B then its boundary is realized as a unitary in the unitization of I. The picture we obtain of the exponential map is based on a projective C*-algebra P that is universal for a set of relations slightly weaker than the relations that define qC. A new, shorter proof of the semiprojectivity of qC is described. Smoothing questions related the relations for qC are addressed. | |
| dc.description | 11 pages. Added a result about the boundary map in K-theory | |
| dc.identifier | https://arxiv.org/abs/0705.4341 | |
| dc.identifier | http://arxiv.org/abs/0705.4341 | |
| dc.identifier | Journal of Functional Analysis, Volume 254, Issue 12, 15 June 2008, Pages 3079-3092 | |
| dc.identifier | doi:10.1016/j.jfa.2008.03.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161668 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 46L35; 46L80 | |
| dc.title | A Projective C*-Algebra Related to K-Theory | |
| dc.type | text |