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Operator Algebra Quantum Homogeneous Spaces of Universal Gauge Groups

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In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the σ-C*-algebra setting. More precisely, we propose concise definitions of σ-C*-quantum groups and σ-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 these groups for the quantum homogeneous spaces associated to the quantum version of the universal gauge group SU(∞).

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  1. Department of Pure Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia

    Snigdhayan Mahanta & Varghese Mathai

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  1. Snigdhayan Mahanta
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  2. Varghese Mathai
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Correspondence to Snigdhayan Mahanta.

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Mahanta, S., Mathai, V. Operator Algebra Quantum Homogeneous Spaces of Universal Gauge Groups. Lett Math Phys 97, 263–277 (2011). https://doi.org/10.1007/s11005-011-0492-y

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  • DOI: https://doi.org/10.1007/s11005-011-0492-y

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