Bookcover of Free Calculus on Operator Algebras
Booktitle:

Free Calculus on Operator Algebras

Operator Algebraic Calculus Induced by Certain Operators

LAP LAMBERT Academic Publishing (2010-09-14 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-3-8383-2519-4

ISBN-10:
3838325192
EAN:
9783838325194
Book language:
English
Blurb/Shorttext:
In this monograph, we consider free calculus on operator algebras. In Part 1, we consider structure theorems for a C*-algebra generated by a finite family F of partial isometries on a Hilbert space. We show that, whenever such a family is given, there always exists the corresponding graph G of F. Moreover, the graph groupoid of G shows how this family F works on H. We realize that C*-algebra C*(F), generated by F is *-isomorphic to the groupoid C*-algebra generated by the graph groupoid of G, under suitable (embedding) representations. In Part 2, we determine free calculus on C*(F). Free calculus consists of the differentiation, and the integration, like the usual calculus. The fundamental properties of them are studied. Also, we investigate free calculus on arbitrary C*-algebras. In Part 3, we extend the free calculus in the sense of Part 2 to that on groupoid C*-dynamical systems.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
ILWOO CHO
Number of pages:
92
Published on:
2010-09-14
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
Finite Directed Graphs, Partial Isometries, Graph Groupoids, C*-Algebras, Graph- Families of Partial Isometries, derivation, Free-Differential Operators, Free- Integral Operators, Groupoid C*-Dynamical Systems, Graph-Dynamical Systems, Crossed Product C*-Algebras.

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING