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Abstract This report gives a detailed account of relativistic quantum field theory in the grand canonical ensemble. Three approaches are discussed: traditional Euclidean Matsubara, and two recently… (More)

A known process and apparatus for analog-to-digital conversion includes a storage circuit SP which includes a capacitor C which receives a charge corresponding to the voltage of an analog signal I to… (More)

This is a graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space… (More)

Using (nonrigorous) operator-algebraic and group-theoretic techniques the particle structure of interacting real-time thermal field theory is investigated. A description in terms of elementary… (More)

A synthesis is attempted between the algebraic theory of superselection sectors (not necessarily of infinite systems), which is based on the representation theory of C* algebras (which we review),… (More)

Quantization is defined as the act of assigning an appropriate C*-algebra to a given configuration space Q, along with a prescription mapping self-adjoint elements of into physically interpretable… (More)

A theorem of Muhly–Renault–Williams states that if two locally compact groupoids with Haar system are Morita equivalent, then their associated convolution C*-algebras are strongly Morita equivalent.… (More)

We study representations of the enveloping algebra of a Lie group G which are induced by a representation of a Lie subgroup H, assuming that G/H is reductive. Such representations describe the… (More)

The quantization procedure of the preceding paper is applied to study two generic topological quantum effects, viz. the charge quantization induced by (abelian) magnetic monopoles, and the… (More)

The quantum algebra of observables of a particle moving on a homogeneous configuration space Q = G/H, the transformation group C*-algebra C* (G, G/H), is deformed into its classical counterpart C0… (More)