Abstract
We discuss some basic features of the local multiplier algebra of a C*-algebra, the analytic analogue of the well-known Kharchenko-Martindale symmetric ring of quotients, and also the more recent maximal C*-algebra of quotients, which is the analytic companion to the Utumi-Lanning maximal symmetric ring of quotients, together with some of the applications to operator theory on C*-algebras. The emphasis lies in illustrating the interrelations between noncommutative ring theory and functional analysis.
This paper is part of a research project supported by the Royal Society.
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Dedicated to Robert Wisbauer on the occasion of his 65th birthday.
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Mathieu, M. (2008). The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis. In: Brzeziński, T., Gómez Pardo, J.L., Shestakov, I., Smith, P.F. (eds) Modules and Comodules. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8742-6_20
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DOI: https://doi.org/10.1007/978-3-7643-8742-6_20
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