TY  - JOUR
AB  - We develop some tools for manipulating and constructing projections in C*-algebras. These are then applied to give short proofs of some standard projection homotopy results, as well as strengthen some fundamental classical results for C*-algebras of real rank zero, specifically on liftings, excising pure states and Kadison’s transitivity theorem. Lastly, we investigate some order properties of the set of projections in C*-algebras of real rank zero, building on the work in [5].
AU  - Bice, Tristan
DA  - 2013
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 557
PY  - 2013
SP  - 557-581
T2  - Münster Journal of Mathematics
TI  - The projection calculus
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-55309456861
Y2  - 2024-11-22T10:18:22
ER  -