Abstract
Let α be an extendible endomorphism of a C* -algebra A, and let X be the Hilbert bimodule (1)A. We analyze the Toeplitz algebra of this Hilbert bimodule and we show that the partial-isometric crossed product A ×α ℕ is isomorphic to the Toeplitz algebra TX . Then we have two crossed product exact sequences.
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More From: Journal of Dynamical Systems and Geometric Theories
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