Mathematics – Quantum Algebra
Scientific paper
2010-12-29
Lett.Math.Phys.97:263-277,2011
Mathematics
Quantum Algebra
14 pages. Merged with [arXiv:1011.1073]
Scientific paper
10.1007/s11005-011-0492-y
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).
Mahanta Snigdhayan
Mathai Varghese
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