Extension of automorphisms to C*-crossed products with non-trivial centre

Details Extension of automorphisms to C*-crossed products with non-trivial centre Extension of automorphisms to C*-crossed products with non-trivial centre

2007-07-06

arxiv.org/abs/0707.0932v1

J. Operator Theory 64, no.2, 417-434 (2010)

Mathematics

Operator Algebras

19 pages

Scientific paper

Given a quasi-special endomorphism $\rho$ of a C*-algebra A with nontrivial center, we study an extension problem for automorphisms of A to a minimal cross-product B of A by $\rho$. Exploiting some aspects of the underlying generalized Doplicher-Roberts duality theory based on Pimsner algebras, an obstruction to the existence of such extensions is found and described in terms of sections of a suitable group bundle.

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