Advances in Operator Theory
- Adv. Oper. Theory
- Volume 4, Number 1 (2019), 164-196.
Quantum groups, from a functional analysis perspective
It is well-known that any compact Lie group appears as closed subgroup of a unitary group, $G\subset U_N$. The unitary group $U_N$ has a free analogue $U_N^+$, and the study of the closed quantum subgroups $G\subset U_N^+$ is a problem of general interest. We review here the basic tools for dealing with such quantum groups, with all the needed preliminaries included, and we discuss as well a number of more advanced topics.
Adv. Oper. Theory, Volume 4, Number 1 (2019), 164-196.
Received: 11 April 2018
Accepted: 8 May 2018
First available in Project Euclid: 8 June 2018
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Banica, Teodor. Quantum groups, from a functional analysis perspective. Adv. Oper. Theory 4 (2019), no. 1, 164--196. doi:10.15352/aot.1804-1342. https://projecteuclid.org/euclid.aot/1528444819