Quantum Symmetries on Operator Algebras Export

@book{citeulike:4149095, abstract = {In the last 20 years, the study of operator algebras has developed from abranch of functional analysis to a central field of mathematics withapplications in both pure mathematics and mathematical physics. The theory wasinitiated by von Neumann and Murray as a tool for studying grouprepresentations and as a framework for quantum mechanics, and has since keptin touch with its roots in physics as a framework for quantum statisticalmechanics and the formalism of algebraic quantum field theory. However, in1981, the study of operator algebras took a new turn with the introduction byVaughn Jones of subfactor theory, leading to remarkable connections with knottheory, 3-manifolds, quantum groups, and integrable systems in statisticalmechanics and conformal field theory. This book, one of the first in the area,looks at these combinatorial-algebraic developments from the perspective ofoperator algebras. With minimal prerequisites from classical theory, it bringsthe reader to the forefront of research.}, author = {Evans, David E. and Kawahigashi, Yasuyuki}, citeulike-article-id = {4149095}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0198511752}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0198511752}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0198511752}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0198511752}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0198511752/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0198511752}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0198511752}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0198511752}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0198511752&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0198511752}, edition = {illustrated edition}, howpublished = {Hardcover}, isbn = {0198511752}, keywords = {operator\_algebras, symmetries}, month = {July}, posted-at = {2009-03-08 11:51:29}, priority = {2}, publisher = {Oxford University Press, USA}, title = {Quantum Symmetries on Operator Algebras}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0198511752}, year = {1998} }

TY - BOOK ID - citeulike:4149095 L3 - citeulike-article-id:4149095 N2 - In the last 20 years, the study of operator algebras has developed from abranch of functional analysis to a central field of mathematics withapplications in both pure mathematics and mathematical physics. The theory wasinitiated by von Neumann and Murray as a tool for studying grouprepresentations and as a framework for quantum mechanics, and has since keptin touch with its roots in physics as a framework for quantum statisticalmechanics and the formalism of algebraic quantum field theory. However, in1981, the study of operator algebras took a new turn with the introduction byVaughn Jones of subfactor theory, leading to remarkable connections with knottheory, 3-manifolds, quantum groups, and integrable systems in statisticalmechanics and conformal field theory. This book, one of the first in the area,looks at these combinatorial-algebraic developments from the perspective ofoperator algebras. With minimal prerequisites from classical theory, it bringsthe reader to the forefront of research. SN - 0198511752 TI - Quantum Symmetries on Operator Algebras PB - Oxford University Press, USA KW - operator_algebras KW - symmetries AU - Evans, David AU - Kawahigashi, Yasuyuki PY - 1998/07/30/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0198511752 ER -