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https://hdl.handle.net/2440/87888
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Type: | Journal article |
Title: | Operator algebra quantum homogeneous spaces of universal gauge groups |
Author: | Mahanta, S. Varghese, M. |
Citation: | Letters in Mathematical Physics, 2011; 97(3):263-277 |
Publisher: | Springer Netherlands |
Issue Date: | 2011 |
ISSN: | 0377-9017 1573-0530 |
Statement of Responsibility: | 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 |
DOI: | 10.1007/s11005-011-0492-y |
Grant ID: | ARC |
Published version: | http://dx.doi.org/10.1007/s11005-011-0492-y |
Appears in Collections: | Aurora harvest 2 Mathematical Sciences publications |
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