Operator algebra quantum groups of universal gauge groups

2010/11/04 by Mahanta, Snigdhayan, Mathai, Varghese
#46L65 #58B32 #58B34 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Operator Algebras (math.OA) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1011.1073

Abstract

In this paper, we quantize universal gauge groups such as SU(∞), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the concept here. At the same time, we put this definition in the mathematical context of countably compactly generated groups as well as C*-compact quantum groups.

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