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Interpreting Quantum Theories$
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Laura Ruetsche

Print publication date: 2011

Print ISBN-13: 9780199535408

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199535408.001.0001

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Representation Without Taxation

Representation Without Taxation

An Unstrenuous Tour of Algebraic Notions

(p.73) 4 Representation Without Taxation
Interpreting Quantum Theories

Laura Ruetsche

Oxford University Press

This chapter aspires to be an unpunishing introduction to mathematical notions useful for framing and pursuing foundational questions that arise from the unitary inequivalent representations available in QM. One such notion is that of an abstract C* algebra, which turns out to capture the structure common to all unitarily inequivalent representations of the CCRs/CARs quantizing a theory of QM.

Keywords:   Operator algebra, C* algebra, von Neumann algebra, operator topology, GNS representation, normal state, algebraic quantum theory

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