Frobenius C*-algebras and local adjunctions of C*-correspondences
Operator Algebras
2021-08-20 v1 Category Theory
Abstract
Generalising the well-known correspondence between two-sided adjunctions and Frobenius algebras, we establish a one-to-one correspondence between local adjunctions of C*-correspondences, as defined and studied in prior work with P. Clare and N. Higson; and Frobenius C*-algebras, a natural C*-algebraic adaptation of the standard notion of Frobenius algebras that we introduce here.
Keywords
Cite
@article{arxiv.2108.08345,
title = {Frobenius C*-algebras and local adjunctions of C*-correspondences},
author = {Tyrone Crisp},
journal= {arXiv preprint arXiv:2108.08345},
year = {2021}
}
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21 pages