Journal article
Endomorphisms of B(H). II. Finitely correlated states on On
Journal of functional analysis, Vol.145(2), pp.323-373
1997
DOI: 10.1006/jfan.1996.3033
Abstract
We identify sets of conjugacy classes of ergodic endomorphisms of B ( H ) where H is a fixed separable Hilbert space. They correspond to certain equivalence classes of pure states on the Cuntz algebras O n where n is the Powers index. These states, called finitely correlated states, and strongly asymptotically shift invariant states, are defined and characterized. The subsets of these states defining shifts will in general be identified in a later work, but here an interesting cross section for the conjugacy classes of shifts called diagonalizable shifts is introduced and studied.
Details
- Title: Subtitle
- Endomorphisms of B(H). II. Finitely correlated states on On
- Creators
- O BratteliP. E.T Jorgensen
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.145(2), pp.323-373
- DOI
- 10.1006/jfan.1996.3033
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Language
- English
- Date published
- 1997
- Academic Unit
- Mathematics
- Record Identifier
- 9983986087902771
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