12 research outputs found
νΈν -λμμ μλμμ©μ μν μΏ€μ―-νμ€λ λμμ κ΅μ°¨κ³±
νμλ
Όλ¬Έ (λ°μ¬)-- μμΈλνκ΅ λνμ : μ리과νλΆ, 2015. 2. μ μμ.Unifying two notions of an action and coaction of a locally compact group on a -cor\-re\-spond\-ence we introduce a coaction of a Hopf -algebra on a -cor\-re\-spond\-ence . We show that this coaction naturally induces a coaction of on the associated Cuntz-Pimsner algebra under the weak -invariancy for the ideal . When the Hopf -algebra is a reduced Hopf -algebra of a well-behaved multiplicative unitary, we construct from the coaction a -cor\-re\-spond\-ence , and show that it has a representation on the reduced crossed product by the induced coaction . If this representation is covariant, particularly if either the ideal of is generated by the canonical image of in or the left action on by is injective, the -algebra is shown to be isomorphic to the Cuntz-Pimsner algebra associated to . Under the covariance assumption, our results extend the isomorphism result known for actions of amenable groups to arbitrary locally compact groups. Also, the Cuntz-Pimsner covariance condition which was assumed for the same isomorphism result concerning group coactions is shown to be redundant.Abstract
1. Introduction
2. Preliminaries
2.1. -correspondences
2.2. Multiplier correspondences
2.3. Tensor product correspondences
2.4. Cuntz-Pimsner algebras
2.5. -multiplier correspondences
2.6. Reduced and dual reduced Hopf -algebras
2.7. Reduced crossed products
3. Coactions of Hopf -algebras on -correspondences
3.1. The extensions
3.2. Coactions on -correspondences and their induced coactions
4. Reduced crossed product correspondences
4.1. Baaj-Skandalis type lemma for -correspondences
4.2. Reduced crossed product correspondences
5. Reduced crossed products
5.1. Representations of on
5.2. An isomorphism between and
6. Examples
6.1. Coactions on crossed products by
6.2. Coactions on directed graph -algebras
6.2.1. Labelings and coactions on graph -algebras
6.2.2. Coactions on finite graphs
Appendix A. Coactions of on -correspondences
A.1. Akemann-Pedersen-Tomiyama type theorem for -correspondences
A.2. One-to-one correspondence between -actions and -coactions
Appendix B. -correspondences
B.1. -correspondences
B.2. Crossed product correspondences
Abstract (in Korean)Docto
Retrovirus-mediated herpes simplex virus thymidine kinase gene therapy to prevent stenosis following balloon injury of the rat carotid artery
νμλ
Όλ¬Έ(λ°μ¬)--μμΈλνκ΅ λνμ :μνκ³Ό λ΄κ³Όνμ 곡,1998.Docto
(The) analysis of ecology fabric trends : S/S woven fabric trends for 20 years (1986-2005)
νμλ
Όλ¬Έ(λ°μ¬) --μμΈλνκ΅ λνμ :μλ₯νκ³Ό,2008.8.Docto
(A)Study on the origin and migration of oligodendrocytes in the optic tectum of developing chicks
νμλ
Όλ¬Έ(λ°μ¬)--μμΈλνκ΅ λνμ :μνκ³Ό ν΄λΆνμ 곡,2006.Docto
λΆν΄λΆκ°λ₯ μμ νμ¬μκ³Ό κΌ¬μ
Thesis(master`s)--μμΈλνκ΅ λνμ :μ리과νλΆ,2005.Maste