Physics – Mathematical Physics
Scientific paper
2009-12-21
SIGMA 6 (2010), 026, 17 pages
Physics
Mathematical Physics
Scientific paper
10.3842/SIGMA.2010.026
The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold. An explicit formula for the distance between any two elements of a particular class of pure states can be determined. The corresponding result is discussed. The existence of some pure states at infinite distance signals that the topology of the spectral distance on the space of states is not the weak * topology. The case of the noncommutative torus is also considered and a formula for the spectral distance between some states is also obtained.
Cagnache Eric
Wallet Jean-Christophe
No associations
LandOfFree
Spectral Distances: Results for Moyal Plane and Noncommutative Torus 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 Spectral Distances: Results for Moyal Plane and Noncommutative Torus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Distances: Results for Moyal Plane and Noncommutative Torus will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-302826