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.
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页数：19
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