Volume 33 • Number 3 • 2010   • The Partial-Isometric Crossed Products of c0 by the Forward and the Backward Shifts Sriwulan Adji and Abbas Hosseini Abstract. Let (A, α) be a system consisting of a C*-algebra A and an extendible endomorphism α on A. We consider the partial-isometric crossed product generated by a copy of A and a power partial isometry. We show that for an extendible α-invariant ideal I in A, the quotient of partial-isometric crossed products is isomorphic to the partial-isometric crossed product of the quotient algebra. Then we use this to give concrete descriptions of the partial-isometric crossed products of c0 by the forward shift and the backward shift. 2010 Mathematics Subject Classification: Primary 46L55; Secondary 06F15, 47B35. Full text: PDF