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Infinite tensor products and the construction of states for lattice-gauge theories

Jan 16
2:00 pm o'clock to 4:00 pm o'clock
SR 02.729

We discuss an operator-algebraic phase-space quantization approach to lattice-gauge theories and its relation with infinite tensor products of C*- and von Neumann algebras. Furthermore, we show how the latter enables the construction of states and the determination of the factor type of certain subalgebras. Finally, we point out relations with recent lattice-QCD models of Grundling & Rudolph as well as a construction by Jones in the reconstruction program of CFT.