Inductive limit violates quasi-cocommutativity

Abstract

We show that the inductive limit of a certain inductive system of quasi-cocommutative C${}^{\ast }$-bialgebras is not quasi-cocommutative. This implies that the category of quasi-cocommutative C${}^{\ast }$-bialgebras is not closed with respect to the inductive limit.

16 pages

References in corpus (1)

• A tensor product of representations of UHF algebras arising from Kronecker products