{"product_id":"free-calculus-on-operator-algebras-von-ilwoo-cho","title":"Free Calculus on Operator Algebras","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838325194\"\u003e\u003ch3\u003eOperator Algebraic Calculus Induced by Certain Operators\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838325194","offer_id":39499063951453,"sku":"9783838325194","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/77281249-6871-4d83-80fe-eb2926d8c3b3.jpg?v=1773381776","url":"https:\/\/shop.autorenwelt.de\/products\/free-calculus-on-operator-algebras-von-ilwoo-cho","provider":"Autorenwelt Shop","version":"1.0","type":"link"}