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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 January 2022

Representation Without Taxation

Representation Without Taxation

An Unstrenuous Tour of Algebraic Notions

Chapter:
(p.73) 4 Representation Without Taxation
Source:
Interpreting Quantum Theories
Author(s):

Laura Ruetsche

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199535408.003.0004

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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