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arXiv · 1012.5893

Operator algebra quantum homogeneous spaces of universal gauge groups

Snigdhayan Mahanta·Varghese Mathai
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Abstract

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).

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Snigdhayan Mahanta, Varghese Mathai. 2011-01-26. Operator algebra quantum homogeneous spaces of universal gauge groups. https://doi.org/10.1007/s11005-011-0492-y

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