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Frames on Graphs and Corresponding von Neumann Algebras
TaschenbuchPrint on DemandIn this monograph, we consider the framing process on given graphs. For a fixed graph, we put a f...
Operations on Graphs, Groupoids, and Operator Algebras
TaschenbuchPrint on DemandIn this monograph, we consider natural operations on directed graphs. And we find the connections...
Index Theory on Graphs
TaschenbuchPrint on DemandIn this monograph, we study the relation between graph-index and Watatani's extended Jones index ...
Free Calculus on Operator Algebras
TaschenbuchPrint on DemandIn this monograph, we consider free calculus on operator algebras. In Part 1, we consider structu...
Representation of Arithmetic Functions and Free Probability
TaschenbuchPrint on DemandIn this monograph, we study a class of representations of arithmetic functions, and corresponding...
Graph Groupoids and Partial Isometries
TaschenbuchPrint on DemandIn this monograph, we consider the connection between graphs and Hilbert space operators. In part...
Distorted Histories
TaschenbuchPrint on DemandThe main purpose of this monograph is to show the existence of distortions of histories, and anal...
Fractals on Graphs
TaschenbuchPrint on DemandRecently, graphs have been studied and applied in various math and science fileds. In this monogr...
The Index Semigroup Induced by Finite Trees
TaschenbuchPrint on DemandIn this monograph, we study graph-index, Watatani's extended Jones index, and the relations betwe...
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