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Exel and Stacey crossed products, and Cuntz-Pimsner algebras
Exel crossed product Stacey crossed product Cuntz-Pimsner algebra endomorphism
2011/8/25
Abstract: There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel crossed produ...
Cyclic homology of braided Hopf crossed products
Crossed products Hochschild (co)homology Cyclic homology
2011/8/25
Abstract: Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that gives the...
Structure and K-theory of crossed products by proper actions
Structure K-theory of crossed products proper actions
2011/2/25
We study the C*-algebra crossed product C0(X) ⋊ G of a locally compact group G acting properly on a locally compact Hausdorff space X.Under some mild extra conditions, which are automatic if G i...
Nuclear and type I crossed products of C*-algebras by group and compact quantum group actions
Direct proofs Feigin-Fuchs character formula unitary representations Virasoro algebra
2011/3/1
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary
discrete series of the Virasoro algebra with 0 < c < 1. The proof showed directly that the mutliplicity sp...
Dilations of semigroup crossed products as crossed products of dilations
Dilations of semigroup crossed products of dilations
2010/12/14
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...