For any C*-correspondence with a generalized gauge action by a locally compact Hausdorff group, the Cuntz-Pimsner algebra of the reduced crossed product is canonically isomorphic to the reduced crossed product of the Cuntz-Pimsner algebra.
On Fock covariance for product systems and the reduced Hao-Ng isomorphism problem by discrete actions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We provide a characterisation of equivariant Fock covariant injective representations for product systems. We show that this characterisation coincides with Nica covariance for compactly aligned product systems over right LCM semigroups of Kwa\'{s}niewski and Larsen, and with the Toeplitz representations of a discrete monoid of Laca and Sehnem. By combining with the framework established by Katsoulis and Ramsey, we resolve the reduced Hao-Ng isomorphism problem for generalised gauge actions by discrete groups.
fields
math.OA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Hao-Ng isomorphism theorem for reduced crossed products
For any C*-correspondence with a generalized gauge action by a locally compact Hausdorff group, the Cuntz-Pimsner algebra of the reduced crossed product is canonically isomorphic to the reduced crossed product of the Cuntz-Pimsner algebra.