Rieffel deformation via crossed products

Details Rieffel deformation via crossed products Rieffel deformation via crossed products

2006-06-14

arxiv.org/abs/math/0606333v15

J. Funct. Anal. 257, (2009), no. 5, p. 1288-1332

Mathematics

Operator Algebras

39 pages

Scientific paper

10.1016/j.jfa.2009.05.013

We start from Rieffel data (A,f,X) where A is a C*-algebra, X is an action of an abelian group H on A and f is a 2-cocycle on the dual group. Using Landstad theory of crossed product we get a deformed C*-algebra A(f). In the case of H being the n-th Cartesian product of the real numbers we obtain a very simple proof of invariance of K-groups under the deformation. In the general case we also get a very simple proof that nuclearity is preserved under the deformation. We show how our approach leads to quantum groups and investigate their duality. The general theory is illustrated by an example of the deformation of SL(2,C). A description of it, in terms of noncommutative coordinates is given.

Affiliated with

Also associated with

No associations

Rating

Rieffel deformation via crossed products 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 Rieffel deformation via crossed products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rieffel deformation via crossed products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197216