A new look at crossed product correspondences and associated C*-algebras

作者：Bedos Erik; Kaliszewski S; Quigg John; Robertson David^*

来源：Journal of Mathematical Analysis and Applications, 2015, 426(2): 1080-1098.

DOI：10.1016/j.jmaa.2015.01.055

• C*-algebra
• Cuntz-Pimsner algebra
• Crossed product

When a locally compact group acts on a C*-correspondence, it also acts on the associated Cuntz-Pimsner algebra in a natural way. Hao and Ng have shown that when the group is amenable the Cuntz-Pimsner algebra of the crossed product correspondence is isomorphic to the crossed product of the Cuntz-Pimsner algebra. In this paper, we have a closer look at this isomorphism in the case where the group is not necessarily amenable. We also consider what happens at the level of Toeplitz algebras.

• 出版日期2015-6-15