The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)

Details The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z) The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)

2006-09-28

arxiv.org/abs/math/0609784v2

Mathematics

Operator Algebras

AMSLaTeX; 43 pages. This paper is a greatly improved version of Sections 8 through 10 of the unpublished long preprint arXiv:m

Scientific paper

Let F be a finite subgroup of SL_2 (Z) (necessarily isomorphic to one of Z/2Z, Z/3Z, Z/4Z, or Z/6Z), and let F act on the irrational rotational algebra A_{\theta} via the restriction of the canonical action of SL_2 (Z). Then the crossed product of A_{\theta} by F, and the fixed point algebra for the action of F on A_{\theta}, are AF algebras. The same is true for the crossed product and fixed point algebra of the flip action of Z/2Z on any simple d-dimensional noncommutative torus A_{\Theta}. Along the way, we prove a number of general results which should have useful applications in other situations.

Affiliated with

Also associated with

No associations

Rating

The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z) 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 The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532273