Skip Navigation

Journal of the London Mathematical Society 1997 56(1):179-188; doi:10.1112/S0024610797005243
© 1997 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Kodaka, K.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

Picard Groups of Irrational Rotation C*-Algebras

Kazunori Kodaka

Department of Mathematics, College of Science, Ryukyu University Nishihara-cho, Okinawa, 903-01, Japan

Received 8 November 1993. Revision received 1 June 1995.

Let {theta} be an irrational number in [0, 1] and A{theta} the corresponding irrational rotation C*-algebra. Let Aut (A{theta}) be the group of all automorphisms of A{theta} and Int (A{theta}) the normal subgroup of Aut (A{theta}) of all inner automorphisms of A{theta}. Let Pic (A{theta}) be the Picard group of A{theta}. In the present note we shall show that if {theta} is not quadratic, then Pic (A{theta}){cong}Aut (A{theta})/Int (A{theta}) and that if {theta} is quadratic, then Pic (A{theta}) is isomorphic to a semidirect product of Aut (A{theta})/Int (A{theta}) with Z. Furthermore, in the last section we shall discuss Picard groups of certain Cuntz algebras.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.