The paper presents a construction of the crossed product of a C *-algebra by a semigroup of endomorphisms generated by partial isometries.

We study the ideal structure of C∗-algebras arising from C∗-correspondences. We prove that gauge-invariant ideals of our C∗-algebras are parameterized by certain pairs of ideals of original C∗-algebras. We show that our C∗-algebras have a nice property which should be possessed by generalization of crossed products. Applications to crossed products by Hilbert C∗-bimodules and relative Cuntz-Pim...

We first describe a Rieffel induction system for groupoid crossed products. We then use this induction system to show that, given a regular groupoid G and a dynamical system (A,G,α), every irreducible representation of A⋊G is induced from a representation of the group crossed product A(u)⋊Su where u ∈ G(0), A(u) is a fibre of A, and Su is a stabilizer subgroup of G.

The boundary map in K-theory arising from the Wiener-Hopf extension of a crossed product algebra with R is the Connes-Thom isomorphism. In this article the Wiener Hopf extension is combined with the Heisenberg group algebra to provide an elementary construction of a corresponding map on higher traces (and cyclic cohomology). It then follows directly from a non-commutative Stokes theorem that th...

Let A be a unital separable C∗-algebra, and D a strongly selfabsorbing C∗-algebra (in the sense of Toms and Winter). We show that if A is D-absorbing, then the crossed product of A by a finite group is D-absorbing as well, assuming the action satisfying a Rokhlin property. With some extra restrictions on A and D, we obtain a similar result for crossed products by Z.

In this article, we will prove that the subsectors of α-induced sectors for M ⋊ Ĝ ⊃ M forms a modular category, where M ⋊ Ĝ is the crossed product of M by the group dual Ĝ of a finite group G. In fact, we will prove that it is equivalent to Müger’s crossed product. By using this identification, we will exhibit an orbifold aspect of the quantum double of ∆(not necessarily non-degenerate) obtaine...