Crossed products of Hilbert C*-bimodules by bundles
نویسندگان
چکیده
منابع مشابه
Gauge-equivariant Hilbert bimodules and crossed products by endomorphisms
C*-algebra endomorphisms arising from superselection structures with non-trivial centre define a ’rank’ and a ’first Chern class’. Crossed products by such endomorphisms involve the Cuntz-Pimsner algebra of a vector bundle having the above-mentioned rank and first Chern class, and can be used to construct a duality for abstract (nonsymmetric) tensor categories vs. group bundles acting on (nonsy...
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We study C*-algebra endomorphims which are special in a weaker sense w.r.t. 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 b...
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We construct the crossed product A ⋊ ρ̂ of a C*-algebra A with centre Z by an endomorphism ρ , which is special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts; the notation ρ̂ denotes the tensor C*-category of powers of ρ . We assign to ρ a geometrical invariant, representing a cohomological obstruction for it to be special in the usual sense; such invariant determines ra...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1998
ISSN: 0263-6115
DOI: 10.1017/s1446788700001348