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Winter 2019 Quantum groups, from a functional analysis perspective
Teodor Banica
Adv. Oper. Theory 4(1): 164-196 (Winter 2019). DOI: 10.15352/aot.1804-1342

Abstract

‎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.

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Teodor Banica. "Quantum groups, from a functional analysis perspective." Adv. Oper. Theory 4 (1) 164 - 196, Winter 2019. https://doi.org/10.15352/aot.1804-1342

Information

Received: 11 April 2018; Accepted: 8 May 2018; Published: Winter 2019
First available in Project Euclid: 8 June 2018

zbMATH: 06946449
MathSciNet: MR3867340
Digital Object Identifier: 10.15352/aot.1804-1342

Subjects:
Primary: 46L65
Secondary: 46L89

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.4 • No. 1 • Winter 2019
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