Inclusions of unital C-algebras of index-finite type with depth 2 induced by saturated actions of finite dimensional C-Hopf algebras

Authors

  • Kazunori Kodaka
  • Yamotsu Teruya

DOI:

https://doi.org/10.7146/math.scand.a-15096

Abstract

Let B be a unital C-algebra and H a finite dimensional C-Hopf algebra with its dual C-Hopf algebra H0. We suppose that there is a saturated action of H on B and we denote by A its fixed point C-subalgebra of B. Let E be the canonical conditional expectation from B onto A. In the present paper, we shall give a necessary and sufficient condition that there are a weak action of H0 on A and a unitary cocycle σ of H0H0 to A satisfying that there is an isomorphism π of AσH0 onto B, which is the twisted crossed product of A by the weak action of H0 on A and the unitary cocycle σ, such that F=Eπ, where F is the canonical conditional expectation from AσH0 onto A.

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Published

2009-06-01

How to Cite

Kodaka, K., & Teruya, Y. (2009). Inclusions of unital C-algebras of index-finite type with depth 2 induced by saturated actions of finite dimensional C-Hopf algebras. MATHEMATICA SCANDINAVICA, 104(2), 221–248. https://doi.org/10.7146/math.scand.a-15096

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Articles