It is rather paradoxical that, although entropy is one of the most important quantities in
physics, its main properties are rarely listed in the usual textbooks on statistical mechanics …

In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

This is an English edition of Dixmier's book, which is the first systematic exposition of the
algebraic approach to representations of Lie groups via representations of (or modules over) …

The representation theory of locally compact groups has been vig orously developed in the
past twenty-five years or so; of the various branches of this theory, one of the most attractive …

Abstract Representations of the C*-algebra A of observables corresponding to thermal
equilibrium of a system at given temperature T and chemical potential μ are studied. Both for …

We say that a representation of an algebra of local observables has short-range correlations
if any observable which can be measured outside all bounded sets is a multiple of the …

This systematic algebraic approach concerns problems involving a large number of degrees
of freedom. It extends the traditional formalism of quantum mechanics, and it eliminates …

We identify a direct correspondence between the crossed product construction which plays
a crucial role in the theory of Type III von Neumann algebras, and the extended phase space …

Written in lucid language, this valuable text discusses fundamental concepts of von
Neumann algebras including bounded linear operators in Hilbert spaces, finite von …

Undoubtedly, the principal problem in many field of mathematics is to understand and
describe precisely the structure of the objects in question in terms of simpler (or more …