FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 1019-1031

Locally convex group algebras over compact groups

S.A.Piartli

It is proved that Tannaka-Krein duality theorem can be formulated through mutually conjugated locally convex Hopf algebras constructed by the group algebra $\mathbb{C}[G]$ and the Krein algebra of representation functions.

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