Abstract
Throughout this book, we have been emphasizing that the theory of operator algebras is non-commutative analysis: non-commutative measure theory, non-commutative integration, non-commutative topology and so on. However, operator algebras are by no means only non-commutative mathematics. The non-commutativity occurs almost everywhere in mathematics. But, the first encounter of the noncommutativity for mathematics students would be through matrix calculations. In fact, the theory of matrices is the mother land of the theory of operator algebras. It offers endless fascination to operator algebraists. Maybe, it is not far from the truth that the theory of matrices should be best understood through operator algebras.
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Notes on Chapter XV
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Takesaki, M. (2003). Nuclear C*-Algebras. In: Theory of Operator Algebras III. Encyclopaedia of Mathematical Sciences, vol 127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10453-8_3
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DOI: https://doi.org/10.1007/978-3-662-10453-8_3
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