Geodesic
The duality of algebras with involution and generalized shift operators
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 24 (1986), pp. 165-205
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A survey is given of works in which L. S. Pontryagin's duality principle is extended to various classes of, generally speaking, noncommutative, generalized shift operators. The discussion is carried out with the use of the theory of Kac algebras and its generalizations. A number of problems are formulated. 
@article{INTM_1986_24_a1,
     author = {L. I. Vainerman},
     title = {The duality of algebras with involution and generalized shift operators},
     journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
     pages = {165--205},
     year = {1986},
     volume = {24},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTM_1986_24_a1/}
}
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L. I. Vainerman. The duality of algebras with involution and generalized shift operators. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 24 (1986), pp. 165-205. http://geodesic.mathdoc.fr/item/INTM_1986_24_a1/