%0 Journal Article
%T Operator algebra quantum homogeneous spaces of universal gauge groups
%A Snigdhayan Mahanta
%A Varghese Mathai
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s11005-011-0492-y
%X In this paper, we quantize universal gauge groups such as SU(\infty), as well as their homogeneous spaces, in the sigma-C*-algebra setting. More precisely, we propose concise definitions of sigma-C*-quantum groups and sigma-C*-quantum homogeneous spaces and explain these concepts here. At the same time, we put these definitions in the mathematical context of countably compactly generated spaces as well as C*-compact quantum groups and homogeneous spaces. We also study the representable K-theory of these spaces and compute it for the quantum homogeneous spaces associated to the universal gauge group SU(\infty).
%U http://arxiv.org/abs/1012.5893v2