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The Toeplitz algebra of a Hilbert bimodule

The Toeplitz algebra of a Hilbert bimodule

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 …