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20012005
most citedRokhlin actions and self-absorbing C*-algebras

6 citations · 8 across the 3 of their papers we have counts for

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math.OA20056 cited

Rokhlin actions and self-absorbing C*-algebras

Ilan Hirshberg, Wilhelm Winter

Let A be a unital separable C*-algebra, and D a K_1-injective strongly self-absorbing C*-algebra. We show that if A is D-absorbing, then the crossed product of A by a compact secon…

math.OA2004

Essential representations of C*-correspondences

Ilan Hirshberg

Let E be a C*-correspondence over a C*-algebra \A with non-degenerate faithful left action. We show that E admits sufficiently many essential representations (i.e. representations…

math.OA20032 cited

On the universal property of Pimsner-Toeplitz C*-algebras and their continuous analogues

Ilan Hirshberg

We consider C*-algebras generated by a single Hilbert bimodule (Pimsner-Toeplitz algebras) and by a product systems of Hilbert bimodules. We give a new proof of a theorem of Pimsne…

math.OA2002

C*-algebras of Hilbert module product systems

Ilan Hirshberg

We consider a class of C*-algebras associated to one parameter continuous tensor product systems of Hilbert modules, which can be viewed as continuous counterparts of Pimsner's Toe…

math.OA2002

Endomorphisms of Stable Continuous-Trace C^*-algebras

Ilan Hirshberg

We classify spectrum-preserving endomorphisms of stable continuous-trace C^*-algebras up to inner automorphism by a surjective multiplicative invariant taking values in finite dime…

math.OA2001

On -algebras Associated to Certain Endomorphisms of Discrete Groups

Ilan Hirshberg

Let α:G --> G be an endomorphism of a discrete amenable group such that [G:α(G)]<infinity. We study the structure of the C^* algebra generated by the left convolution operators act…