C* Algebras

Characterizations of C* Algebras: the Gelfand Naimark Theorems  eBooks & eLearning

Posted by arundhati at Aug. 23, 2018
Characterizations of C* Algebras: the Gelfand Naimark Theorems

Robert Doran, "Characterizations of C* Algebras: the Gelfand Naimark Theorems"
1986 | ISBN-10: 0824775694 | 448 pages | PDF | 27 MB

Classification of Nuclear C*-Algebras. Entropy in Operator Algebras (Repost)  eBooks & eLearning

Posted by step778 at June 10, 2013
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras (Repost)

M. Rordam, E. Stormer, "Classification of Nuclear C*-Algebras. Entropy in Operator Algebras"
2002 | pages: 208 | ISBN: 3540423052 | PDF | 15,4 mb

Geometry of State Spaces of Operator Algebras  eBooks & eLearning

Posted by AvaxGenius at July 5, 2024
Geometry of State Spaces of Operator Algebras

Geometry of State Spaces of Operator Algebras by Erik M. Alfsen , Frederic W. Shultz
English | PDF (True) | 2003 | 470 Pages | ISBN : 0817643192 | 41.9 MB

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), … ), with reference back to [AS] for proofs, so that this book is self-contained.

Geometry of State Spaces of Operator Algebras  eBooks & eLearning

Posted by AvaxGenius at July 5, 2024
Geometry of State Spaces of Operator Algebras

Geometry of State Spaces of Operator Algebras by Erik M. Alfsen , Frederic W. Shultz
English | PDF (True) | 2003 | 470 Pages | ISBN : 0817643192 | 41.9 MB

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), … ), with reference back to [AS] for proofs, so that this book is self-contained.

K-Theory for Group C*-Algebras and Semigroup C*-Algebras  eBooks & eLearning

Posted by AvaxGenius at Oct. 26, 2017
K-Theory for Group C*-Algebras and Semigroup C*-Algebras

K-Theory for Group C*-Algebras and Semigroup C*-Algebras By Joachim Cuntz, Siegfried Echterhoff, Xin LiGuoliang Yu
English | PDF | 2017 | 325 Pages | ISBN : 3319599143 | 3.28 MB

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions.

Monotone Complete C*-algebras and Generic Dynamics  eBooks & eLearning

Posted by Underaglassmoon at Dec. 17, 2015
Monotone Complete C*-algebras and Generic Dynamics

Monotone Complete C*-algebras and Generic Dynamics
Springer | Mathematics | January 16, 2016 | ISBN-10: 1447167732 | 257 pages | pdf | 2.8 mb

by Kazuyuki Saitô (Author), J. D. Maitland Wright (Author)
Unique in presenting the modern theory of monotone complete C*-algebras
Gives a self-contained introduction to generic dynamics
Explains the new classification theory introducing spectroids and classification semigroups

A Tool Kit for Groupoid C-algebras  eBooks & eLearning

Posted by arundhati at Dec. 16, 2023
A Tool Kit for Groupoid C-algebras

Dana P. Williams, "A Tool Kit for Groupoid C-algebras "
English | ISBN: 1470451336 | 2019 | 398 pages | PDF | 3 MB

Monotone Complete C*-algebras and Generic Dynamics  eBooks & eLearning

Posted by AvaxGenius at July 8, 2018
Monotone Complete C*-algebras and Generic Dynamics

Monotone Complete C*-algebras and Generic Dynamics by Kazuyuki Saitô
English | PDF,EPUB | 2015 | 265 Pages | ISBN : 1447167732 | 7.39 MB

This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.

Monotone Complete C*-algebras and Generic Dynamics (Repost)  eBooks & eLearning

Posted by AvaxGenius at July 28, 2018
Monotone Complete C*-algebras and Generic Dynamics (Repost)

Monotone Complete C*-algebras and Generic Dynamics by Kazuyuki Saitô
English | PDF,EPUB | 2015 | 265 Pages | ISBN : 1447167732 | 7.39 MB

This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.

Theory of Operator Algebras III  eBooks & eLearning

Posted by AvaxGenius at Sept. 19, 2022
Theory of Operator Algebras III

Theory of Operator Algebras III by Masamichi Takesaki
English | PDF | 2003 | 568 Pages | ISBN : 3540429131 | 40.9 MB

to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. A factor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, II and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology.