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Operator Algebras And Quantum Statistical Mechanics 1: C*
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Bratteli Ola. In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications.
This splitting into theory and applications is conventional but somewhat arbitrary. In the last years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems of field theory and statistical mechanics. But the theory of 20 years aga was largely developed for the analysis of group representations and it was inadequate for many physical applications.
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