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Maximal Abelian Subalgebras Of Von Neumann Algebras Microform
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Book Synopsis Maximal Abelian Subalgebras of Von Neumann Algebras [microform] by : Ole A. Nielsen
Download or read book Maximal Abelian Subalgebras of Von Neumann Algebras [microform] written by Ole A. Nielsen and published by National Library of Canada. This book was released on 1968 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abelian Subalgebras of Von Neumann Algebras by : Donald Bures
Download or read book Abelian Subalgebras of Von Neumann Algebras written by Donald Bures and published by American Mathematical Soc.. This book was released on 1971-12-31 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular Maximal Abelian *-subalgebras in Continuous Von Neumann Algebras by : S. Popa
Download or read book Singular Maximal Abelian *-subalgebras in Continuous Von Neumann Algebras written by S. Popa and published by . This book was released on 1982 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Maximal Amenable Subalgebras of Amalgamated Free Product Von Neumann Algebras by : Brian Andrew Leary
Download or read book On Maximal Amenable Subalgebras of Amalgamated Free Product Von Neumann Algebras written by Brian Andrew Leary and published by . This book was released on 2015 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we establish a sufficient condition for an amenable von Neumann algebra to be a maximal amenable subalgebra of an amalgamated free product von Neumann algebra. In particular, if $P$ is a diffuse maximal amenable von Neumann subalgebra of a finite von Neumann algebra $N_1$, and $B$ is a von Neumann subalgebra of $N_1$ with the property that no corner of $P$ embeds into $B$ inside $N_1$ in the sense of Popa's intertwining by bimodules, then we conclude that $P$ is a maximal amenable subalgebra of the amalgamated free product of $N_1$ and $N_2$ over $B$, where $N_2$ is another finite von Neumann algebra containing $B$. To this end, we utilize Popa's asymptotic orthogonality property. We also observe several special cases in which this intertwining condition holds, and we note a connection to the Pimsner-Popa index in the case when we take $P=N_1$ to be amenable.
Book Synopsis Crossed Products of von Neumann Algebras by Equivalence Relations and Their Subalgebras by : Igor Fulman
Download or read book Crossed Products of von Neumann Algebras by Equivalence Relations and Their Subalgebras written by Igor Fulman and published by American Mathematical Soc.. This book was released on 1997 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author introduces and studies the construction of the crossed product of a von Neumann algebra. This construction is the generalization of the construction of the crossed product of an abelian von Neumann algebra by an equivalence relation introduced by J. Feldman and C. C. Moore. Many properties of this construction are proved in the general case. In addition, the generalizations of the Spectral Theorem on Bimodules and of the theorem on dilations are proved.
Book Synopsis Normalizers of Finite Von Neumann Algebras by : Jan Michael Cameron
Download or read book Normalizers of Finite Von Neumann Algebras written by Jan Michael Cameron and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: For an inclusion N [subset of or equal to] M of finite von Neumann algebras, we study the group of normalizers N_M(B) = {u: uBu^* = B} and the von Neumann algebra it generates. In the first part of the dissertation, we focus on the special case in which N [subset of or equal to] M is an inclusion of separable II1 factors. We show that N_M(B) imposes a certain "discrete" structure on the generated von Neumann algebra. An analyzing the bimodule structure of certain subalgebras of N_M(B)", then yieds to a "Galois-type" theorem for normalizers, in which we find a description of the subalgebras of N_M(B)" in terms of a unique countable subgroup of N_M(B). We then apply these general techniques to obtain results for inclusions B [subset of or equal to] M arising from the crossed product, group von Neumann algebra, and tensor product constructions. Our work also leads to a construction of new examples of norming subalgebras in finite von Neumann algebras: If N [subset of or equal to] M is a regular inclusion of II1 factors, then N norms M: These new results and techniques develop further the study of normalizers of subfactors of II1 factors. The second part of the dissertation is devoted to studying normalizers of maximal abelian self-adjoint subalgebras (masas) in nonseparable II1 factors. We obtain a characterization of masas in separable II1 subfactors of nonseparable II1 factors, with a view toward computing cohomology groups. We prove that for a type II1 factor N with a Cartan masa, the Hochschild cohomology groups H^n(N, N)=0, for all n [greater than or equal to] 1. This generalizes the result of Sinclair and Smith, who proved this for all N having separable predual. The techniques and results in this part of the thesis represent new progress on the Hochschild cohomology problem for von Neumann algebras.
Book Synopsis Von Neumann Algebras by : Jacques Dixmier
Download or read book Von Neumann Algebras written by Jacques Dixmier and published by North-Holland. This book was released on 1981 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Von Neumann Algebras and Masas by : Allan Sinclair
Download or read book Finite Von Neumann Algebras and Masas written by Allan Sinclair and published by Cambridge University Press. This book was released on 2008-06-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to the general theory of finite von Neumann algebras.
Book Synopsis On Maximal Injective Subalgebras of Factors by : Liming Ge
Download or read book On Maximal Injective Subalgebras of Factors written by Liming Ge and published by . This book was released on 1994 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular maximal Abelian -subalgebras in continuous Von Neumann algebras by : Sorin Popa
Download or read book Singular maximal Abelian -subalgebras in continuous Von Neumann algebras written by Sorin Popa and published by . This book was released on 1982 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Actions of Discrete Amenable Groups on Von Neumann Algebras by : Adrian Ocneanu
Download or read book Actions of Discrete Amenable Groups on Von Neumann Algebras written by Adrian Ocneanu and published by Lecture Notes in Mathematics. This book was released on 1985-08 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Von Neumann Algebras by : Source Wikipedia
Download or read book Von Neumann Algebras written by Source Wikipedia and published by University-Press.org. This book was released on 2013-09 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 26. Chapters: Abelian von Neumann algebra, Affiliated operator, Baer ring, Central carrier, Commutation theorem, Connes embedding problem, Continuous geometry, Crossed product, Direct integral, Dixmier trace, Finite dimensional von Neumann algebra, Hyperfinite type II factor, Kaplansky density theorem, Octacube (mathematics), Schroder-Bernstein theorems for operator algebras, Sherman-Takeda theorem, Subfactor, Temperley-Lieb algebra, Tomita-Takesaki theory, Ultrastrong topology, Ultraweak topology, Von Neumann bicommutant theorem.
Book Synopsis Maximal Abelian Subalgebras of Pseudoeuclidean Real Lie Algebras and Their Application in Physics by : Zora Thomova
Download or read book Maximal Abelian Subalgebras of Pseudoeuclidean Real Lie Algebras and Their Application in Physics written by Zora Thomova and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Invitation to von Neumann Algebras by : V.S. Sunder
Download or read book An Invitation to von Neumann Algebras written by V.S. Sunder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and K-Theory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be -- an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossed-products, Krieger's ratio set, examples of factors, and Takesaki's duality theorem.
Book Synopsis Commutative Subalgebras of Semi-simple Lie Algebras by : Anatoliĭ Ivanovich Malʹt︠s︡ev
Download or read book Commutative Subalgebras of Semi-simple Lie Algebras written by Anatoliĭ Ivanovich Malʹt︠s︡ev and published by . This book was released on 1951 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadiana written by and published by . This book was released on 1969 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Enveloping Von Neumann Algebra of a C*-algebra and Some of Its Applications [microform] by : Wong, Pak-Ken
Download or read book The Enveloping Von Neumann Algebra of a C*-algebra and Some of Its Applications [microform] written by Wong, Pak-Ken and published by National Library of Canada. This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: