Mathematics – Operator Algebras
Scientific paper
2001-08-15
Mathematics
Operator Algebras
Scientific paper
The completely positive rank is an analogue of topological covering dimension, defined for nuclear C*-algebras via completely positive approximations. These may be thought of as simplicial approximations of the algebra, which leads to the concept of piecewise homogeneous maps and a notion of noncommutative simplicial complexes. We introduce a technical variation of the completely positive rank and show that the two theories coincide in many important cases. Furthermore we analyze some of their properties; in particular we show that both theories behave nicely with respect to ideals and that they coincide with covering dimension of the spectrum for certain continuous trace C*-algebras.
No associations
LandOfFree
Covering Dimension for Nuclear C*-Algebras II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Covering Dimension for Nuclear C*-Algebras II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Covering Dimension for Nuclear C*-Algebras II will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-136025