Let P be a left LCM semigroup, and α an action of P by endomorphisms of a C^*-algebra A. We study a semigroup crossed product C^*-algebra in which the action α is implemented by partial isometries. This crossed product gives a model for the Nica-Teoplitz algebras of product systems of Hilbert bimodules (associated with semigroup dynamical systems) studied first by Fowler, for which, we provide a structure theorem as it behaves well under short exact sequences and tensor products.

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