東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Symbolic dynamical systems and C*-al...

Matsumoto, Kengo.

Linked to FindBook

Google Book

Amazon

博客來

Symbolic dynamical systems and C*-algebras = continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Symbolic dynamical systems and C*-algebras/ by Kengo Matsumoto.
Reminder of title:	continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras /
Author:	Matsumoto, Kengo.
Published:	Singapore :Springer Nature Singapore : : 2025.,
Description:	xiv, 359 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Symbolic dynamics. -
Online resource:	https://doi.org/10.1007/978-981-97-9404-1
ISBN:	9789819794041

Symbolic dynamical systems and C*-algebras = continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras /
Matsumoto, Kengo.

Symbolic dynamical systems and C*-algebrascontinuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras /[electronic resource] :by Kengo Matsumoto. - Singapore :Springer Nature Singapore :2025. - xiv, 359 p. :ill., digital ;24 cm. - Mathematical physics studies,2352-3905. - Mathematical physics studies..

This book presents the interplay between topological Markov shifts and Cuntz-Krieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in terms of several different mathematical objects: the étale groupoids, the actions of the continuous full groups on the Markov shifts, the algebraic type of continuous full groups, the Cuntz-Krieger algebras, and the K-theory dates of the Cuntz-Krieger algebras. This classification result shows that topological Markov shifts have deep connections with not only operator algebras but also groupoid theory, infinite non-amenable groups, group actions, graph theory, linear algebras, K-theory, and so on. By using this classification result, the complete classification of flow equivalence in two-sided topological Markov shifts is described in terms of Cuntz-Krieger algebras. The author will also study the relationship between the topological conjugacy of topological Markov shifts and the gauge actions of Cuntz-Krieger algebras.

ISBN: 9789819794041

Standard No.: 10.1007/978-981-97-9404-1doiSubjects--Topical Terms:

709231
Symbolic dynamics.

LC Class. No.: QA614.85

Dewey Class. No.: 514.74

Symbolic dynamical systems and C*-algebras = continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras /
LDR:02330nmm a2200325 a 4500 001 2409421
003 DE-He213
005 20250206115242.0
006 m d
007 cr nn 008maaau
008 260204s2025 si s 0 eng d
020 $a 9789819794041 $q (electronic bk.)
020 $a 9789819794034 $q (paper)
024 7 $a 10.1007/978-981-97-9404-1 $2 doi
035 $a 978-981-97-9404-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614.85
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 514.74 $2 23
090 $a QA614.85 $b .M434 2025
100 1 $a Matsumoto, Kengo. $3 3782655
245 1 0 $a Symbolic dynamical systems and C*-algebras $h [electronic resource] : $b continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras / $c by Kengo Matsumoto.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a xiv, 359 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 2352-3905
520 $a This book presents the interplay between topological Markov shifts and Cuntz-Krieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in terms of several different mathematical objects: the étale groupoids, the actions of the continuous full groups on the Markov shifts, the algebraic type of continuous full groups, the Cuntz-Krieger algebras, and the K-theory dates of the Cuntz-Krieger algebras. This classification result shows that topological Markov shifts have deep connections with not only operator algebras but also groupoid theory, infinite non-amenable groups, group actions, graph theory, linear algebras, K-theory, and so on. By using this classification result, the complete classification of flow equivalence in two-sided topological Markov shifts is described in terms of Cuntz-Krieger algebras. The author will also study the relationship between the topological conjugacy of topological Markov shifts and the gauge actions of Cuntz-Krieger algebras.
650 0 $a Symbolic dynamics. $3 709231
650 0 $a C*-algebras. $3 542530
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Topology. $3 522026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Mathematical physics studies. $3 2072974
856 4 0 $u https://doi.org/10.1007/978-981-97-9404-1
950 $a Mathematics and Statistics (SpringerNature-11649)