Invariants for Normal Completely Positive Maps on the Hyperfinite II₁ Factor

2006/01/14 by Debashish Goswami, Goswami, Debashish, Lingaraj Sahu +1
Mathematics · #46L55 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.math/0601358

openalex publication_date 2006/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate certain classes of normal completely positive (CP) maps on the hyperfinite II₁ factor \mathcal A. Using the representation theory of a suitable irrational rotation algebra, we propose some computable invariants for such CP maps.

Citations

• Subalgebras of C*-algebras

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