R-coactions on $C^*$-algebras

التفاصيل البيبلوغرافية
العنوان: R-coactions on $C^*$-algebras
المؤلفون: Kaliszewski, S., Landstad, Magnus B., Quigg, John
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Operator Algebras, 46L55 (Primary) 46M15 (Secondary)
الوصف: We give the beginnings of the development of a theory of what we call "R-coactions" of a locally compact group on a $C^*$-algebra. These are the coactions taking values in the maximal tensor product, as originally proposed by Raeburn. We show that the theory has some gaps as compared to the more familiar theory of standard coactions. However, we indicate how we needed to develop some of the basic properties of R-coactions as a tool in our program involving the use of coaction functors in the study of the Baum-Connes conjecture.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2108.09231
رقم الانضمام: edsarx.2108.09231
قاعدة البيانات: arXiv