Frobenius C-algebras and local adjunctions of C-correspondences

被引：0

作者：

Crisp, Tyrone ^{[1
]}

机构：

[1] Univ Maine, Dept Math & Stat, 5752 Neville Hall, Orono, ME 04469 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2021年 / 32卷 / 14期

关键词：

Frobenius algebra; C*-algebra; C*-correspondence; adjunction; EQUIVALENCE; MONADS;

D O I：

10.1142/S0129167X21501020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalizing 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 Clare and Higson; and Frobenius C*-algebras, a natural C*-algebraic adaptation of the standard notion of Frobenius algebras that we introduce here.

引用

页数：19

共 29 条

[1] Modules, comodules, and cotensor products over Frobenius algebras [J].