The Toeplitz algebra of a Hilbert bimodule
Neal J. Fowler, Iain Raeburn
Abstract
Suppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner constructed a C*-algebra OX which includes, for particular choices of X, crossed products of A by Z, the Cuntz algebras On, and the Cuntz-Krieger algebras OB. Here we analyse the representations of the corresponding Toeplitz algebra. One consequence is a uniqueness theorem for the Toeplitz-Cuntz-Krieger algebras of directed graphs, which includes Cuntz's uniqueness theorem for O∞.
Create a lesson
Related papers
Sharp Hausdorff--Young inequalities for some locally compact quantum groups
Jinsong Wu, Fulin Yang
Factoriality of Mixed q-Gaussian Algebras at the Boundary
Hang Yang
The ultrapower Rω is not a group factor
Minghui Ma
Super McDuff and Uniformly Super McDuff II1 factor
Xinyan Cao, Zhaolin Yao, Xiaoyan Zhou
Every classifiable simple C*-algebra has a C*-diagonal
Samuel Evington, Philipp Sibbel
Geometric Aspects of C*-Extreme Points II
Neha Hotwani