FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2969791138> ?p ?o ?g. }

• W2969791138 abstract "In the mid thirties Murray and von Neumann found a natural way to associate a von Neumann algebra $L(Gamma)$ to any countable discrete group $Gamma$. Classifying $L(Gamma)$ in term of $Gamma$ is a notoriously complex problem as in general the initial data tends to be lost in the von Neumann algebraic regime. An important problem in the theory of von Neumann algebras is to completely describe all possible tensor decompositions of a given group von Neumann algebra $L(Gamma)$. In this direction the main goal is to investigate how exactly a tensor decomposition of $L(Gamma)$ relates to the underlying group $Gamma$. In this dissertation we introduce several new classes of groups $Gamma$ for which all tensor decompositions of $L(Gamma)$ are parametrized by the canonical direct product decompositions of $Gamma$. Specifically, we show that whenever $L(Gamma)cong M_1barotimes M_2$ where $M_i$ are any diffuse von Neumann algebras then there exists a non-canonical direct product decomposition $Gamma=Gamma_1timesGamma_2$ such that up to amplifications we have that $M_1cong L(Gamma_1)$ and $M_2cong L(Gamma_2)$. Our class include large classes of icc (infinite conjugacy class) amalgamated free products and wreath product groups. In addition we obtain similar classifications of tensor decompositions for the von Neumann algebras associated with the $T_0$ and $T_1$ group functors introduced by McDuff in $1969$." @default.
• W2969791138 created "2019-08-29" @default.
• W2969791138 creator A5014890838 @default.
• W2969791138 date "2019-08-17" @default.
• W2969791138 modified "2023-09-27" @default.
• W2969791138 title "Classification of tensor decompositions for II$_1$ factors" @default.
• W2969791138 cites W1544077854 @default.
• W2969791138 cites W1591322087 @default.
• W2969791138 cites W1666093761 @default.
• W2969791138 cites W1863542862 @default.
• W2969791138 cites W1984304758 @default.
• W2969791138 cites W1988526496 @default.
• W2969791138 cites W1995685490 @default.
• W2969791138 cites W2002212138 @default.
• W2969791138 cites W2006674718 @default.
• W2969791138 cites W2008607650 @default.
• W2969791138 cites W2013380382 @default.
• W2969791138 cites W2015411876 @default.
• W2969791138 cites W2022368952 @default.
• W2969791138 cites W2058136348 @default.
• W2969791138 cites W2062245797 @default.
• W2969791138 cites W2065062059 @default.
• W2969791138 cites W2071880425 @default.
• W2969791138 cites W2080436801 @default.
• W2969791138 cites W2096750502 @default.
• W2969791138 cites W2105841391 @default.
• W2969791138 cites W2116599097 @default.
• W2969791138 cites W2154528415 @default.
• W2969791138 cites W2167682816 @default.
• W2969791138 cites W2316317025 @default.
• W2969791138 cites W2331578546 @default.
• W2969791138 cites W2514860183 @default.
• W2969791138 cites W2620491499 @default.
• W2969791138 cites W2788348966 @default.
• W2969791138 cites W2935707180 @default.
• W2969791138 cites W2962833277 @default.
• W2969791138 cites W2963030465 @default.
• W2969791138 cites W2963287447 @default.
• W2969791138 cites W2963362935 @default.
• W2969791138 cites W2963496261 @default.
• W2969791138 cites W2963727033 @default.
• W2969791138 cites W2963836920 @default.
• W2969791138 cites W2964037527 @default.
• W2969791138 cites W2964047241 @default.
• W2969791138 cites W3098982672 @default.
• W2969791138 cites W3099337020 @default.
• W2969791138 cites W3102975607 @default.
• W2969791138 cites W3105927064 @default.
• W2969791138 cites W590513651 @default.
• W2969791138 cites W634797762 @default.
• W2969791138 hasPublicationYear "2019" @default.
• W2969791138 type Work @default.
• W2969791138 sameAs 2969791138 @default.
• W2969791138 citedByCount "0" @default.
• W2969791138 crossrefType "posted-content" @default.
• W2969791138 hasAuthorship W2969791138A5014890838 @default.
• W2969791138 hasConcept C114614502 @default.
• W2969791138 hasConcept C121332964 @default.
• W2969791138 hasConcept C153408630 @default.
• W2969791138 hasConcept C155281189 @default.
• W2969791138 hasConcept C156772000 @default.
• W2969791138 hasConcept C202444582 @default.
• W2969791138 hasConcept C2781311116 @default.
• W2969791138 hasConcept C33923547 @default.
• W2969791138 hasConcept C51255310 @default.
• W2969791138 hasConcept C62520636 @default.
• W2969791138 hasConcept C80469333 @default.
• W2969791138 hasConceptScore W2969791138C114614502 @default.
• W2969791138 hasConceptScore W2969791138C121332964 @default.
• W2969791138 hasConceptScore W2969791138C153408630 @default.
• W2969791138 hasConceptScore W2969791138C155281189 @default.
• W2969791138 hasConceptScore W2969791138C156772000 @default.
• W2969791138 hasConceptScore W2969791138C202444582 @default.
• W2969791138 hasConceptScore W2969791138C2781311116 @default.
• W2969791138 hasConceptScore W2969791138C33923547 @default.
• W2969791138 hasConceptScore W2969791138C51255310 @default.
• W2969791138 hasConceptScore W2969791138C62520636 @default.
• W2969791138 hasConceptScore W2969791138C80469333 @default.
• W2969791138 hasLocation W29697911381 @default.
• W2969791138 hasOpenAccess W2969791138 @default.
• W2969791138 hasPrimaryLocation W29697911381 @default.
• W2969791138 hasRelatedWork W1572863391 @default.
• W2969791138 hasRelatedWork W1974163838 @default.
• W2969791138 hasRelatedWork W2122004532 @default.
• W2969791138 hasRelatedWork W2254006873 @default.
• W2969791138 hasRelatedWork W2256887533 @default.
• W2969791138 hasRelatedWork W2301818218 @default.
• W2969791138 hasRelatedWork W2343213450 @default.
• W2969791138 hasRelatedWork W2883132634 @default.
• W2969791138 hasRelatedWork W2922047959 @default.
• W2969791138 hasRelatedWork W2923787913 @default.
• W2969791138 hasRelatedWork W2948643456 @default.
• W2969791138 hasRelatedWork W2953236571 @default.
• W2969791138 hasRelatedWork W2962833277 @default.
• W2969791138 hasRelatedWork W2963111665 @default.
• W2969791138 hasRelatedWork W2963836920 @default.
• W2969791138 hasRelatedWork W3092353724 @default.
• W2969791138 hasRelatedWork W3104486527 @default.
• W2969791138 hasRelatedWork W3111942646 @default.
• W2969791138 hasRelatedWork W3138172839 @default.

• next