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|Title:||Operator algebra quantum homogeneous spaces of universal gauge groups|
|Citation:||Letters in Mathematical Physics, 2011; 97(3):263-277|
|Snigdhayan Mahanta, Varghese Mathai|
|Abstract:||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(∞).|
|Keywords:||σ-C*-quantum groups; σ-C*-quantum homogeneous spaces; universal gauge groups; operator algebras; K-theory|
|Rights:||Copyright status unknown|
|Appears in Collections:||Mathematical Sciences publications|
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