The Toeplitz algebra of a Hilbert bimodule
Operator Algebras
2007-05-23 v3
Abstract
Suppose a C*-algebra A acts by adjointable operators on a Hilbert A-module X. Pimsner constructed a C*-algebra O_X which includes, for particular choices of X, crossed products of A by Z, the Cuntz algebras O_n, and the Cuntz-Krieger algebras O_B. 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_\infty.
Keywords
Cite
@article{arxiv.math/9806093,
title = {The Toeplitz algebra of a Hilbert bimodule},
author = {Neal J. Fowler and Iain Raeburn},
journal= {arXiv preprint arXiv:math/9806093},
year = {2007}
}
Comments
AMS-LaTeX, 22 pages; originally posted an old version by mistake