RIS ID
18730
Abstract
Suppose a C β -algebra A acts by adjointable operators on a Hilbert A -module X. Pimsner constructed a C β -algebra πͺ X which includes, for particular choices of X , crossed products of A by Z , the Cuntz algebras πͺ n , and the CuntzKrieger algebras πͺ B. Here we analyse the representations of the corresponding Toeplitz algebra. One consequence is a uniqueness theorem for the ToeplitzCuntz-Krieger algebras of directed graphs, which includes Cuntzβs uniqueness theorem for πͺ β.
Publication Details
Fowler, N. J. & Raeburn, I. (1999). The Toeplitz algebra of a Hilbert bimodule. Indiana University Mathematics Journal, 48 (1), 155-181.