CROSSED PRODUCTS BY ENDOMORPHISMS, VECTOR BUNDLES AND GROUP DUALITY, II

Author:

VASSELLI EZIO1

Affiliation:

1. Dipartimento di Matematica, University of Rome "La Sapienza", P.le Aldo Moro, 2 — 00185 Roma, Italy

Abstract

We study C*-algebra endomorphims which are special in a weaker sense with respect to the notion introduced by Doplicher and Roberts. We assign to such endomorphisms a geometrical invariant, representing a cohomological obstruction for them to be special in the usual sense. Moreover, we construct the crossed product of a C*-algebra by the action of the dual of a (nonabelian, noncompact) group of vector bundle automorphisms. These crossed products supply a class of examples for such generalized special endomorphisms.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Reference30 articles.

1. Superselection Structures for C*-Algebras with Nontrivial Center

2. H. Baumgärtel and F. Lledó, Mathematical Physics in Mathematics and Physics — Quantum and Operator Algebraic Aspects, Fields Institute Communications 30 (2001) pp. 1–10.

3. DUALITY OF COMPACT GROUPS AND HILBERT C*-SYSTEMS FOR C*-ALGEBRAS WITH A NONTRIVIAL CENTER

4. Déformations de $C\sp*$-algèbres de Hopf

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1. GAUGE-EQUIVARIANT HILBERT BIMODULES AND CROSSED PRODUCTS BY ENDOMORPHISMS;International Journal of Mathematics;2009-11

2. REALIZATION OF MINIMAL C*-DYNAMICAL SYSTEMS IN TERMS OF CUNTZ–PIMSNER ALGEBRAS;International Journal of Mathematics;2009-06

3. Bundles of C-categories;Journal of Functional Analysis;2007-06

4. Some Remarks on Group Bundles and C* Dynamical Systems;Communications in Mathematical Physics;2007-05-22

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