MARKOV OPERATORS AND C*-ALGEBRAS

被引：0

作者：

Ionescu, Marius ^{[1
]}

Muhly, Paul S. ^{[2
]}

Vega, Victor ^{[3
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[3] St Ambrose Univ, Dept Math, Davenport, IA 52803 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2012年 / 38卷 / 03期

关键词：

CROSSED-PRODUCT; GRAPH ALGEBRAS; KMS STATES; EQUIVALENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Markov operator P acting on C (X), where X is compact, gives rise to a natural topological quiver. We use the theory of such quivers to attach a C*-algebra to P in a fashion that reflects some of the probabilistic properties of P.

引用

页码：775 / 798

页数：24

共 50 条

[1] Operators on σ-complete C*-algebras
Brooks, JK
Saitô, K
Wright, JDM
QUARTERLY JOURNAL OF MATHEMATICS, 2005, 56 : 301 - 310
[2] Factorization of operators on C*-algebras
Randrianantoanina, N
STUDIA MATHEMATICA, 1998, 128 (03) : 273 - 285
[3] Soft operators in C*-algebras
Thiel, Hannes
Vilalta, Eduard
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 536 (01)
[4] NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS
Lugiewicz, P.
Olkiewicz, R.
Zegarlinski, B.
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2013, 16 (01)
[5] IRREDUCIBLE MARKOV OPERATORS ON C(S)
JAMISON, B
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (02) : 366 - &
[6] Lambert conditional operators on C*-algebras
Jabbarzadeh, M. R.
Moayyerizadeh, Z.
MONATSHEFTE FUR MATHEMATIK, 2023, 202 (02): : 353 - 362
[7] Fredholm operators on C-Algebras
Kečkić D.J.
Lazović Z.
Acta Scientiarum Mathematicarum, 2017, 83 (3-4): : 629 - 655
[8] POSITIVE LINEAR OPERATORS IN C*-ALGEBRAS
Park, Choonkil
An, Jong Su
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (05) : 1031 - 1040
[9] Ranks of operators in simple C*-algebras
Dadarlat, Marius
Toms, Andrew S.
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (05) : 1209 - 1229
[10] ELEMENTARY OPERATORS AND SUBHOMOGENEOUS C*-ALGEBRAS
Gogic, Ilja
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2011, 54 : 99 - 111

← 1 2 3 4 5 →