Autor: Ola Bratteli

The theme of this symposium was operator algebras in a wide sense. In the last 40 years operator algebras has developed from a rather special dis- pline within functional analysis to become a central …

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Let $/mathcal{O}_{d}$ be the Cuntz algebra on generators $S_{1}, /dots, S_{d}$, $2/leq d</infty$. Let $/mathcal{D}_{d}/subset/mathcal{O}_{d}$ be the abelian subalgebra generated by monomials $S_{/ …

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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. Subsequently we desc …

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. Subsequently we desc …

For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KM …

In this chapter, and the following one, we examine various applications of C*-algebras and their states to statistical mechanics. Principally we analyze the structural properties of the equilibrium s …