NONCOMMUTATIVE CARTAN C*-SUBALGEBRAS

被引：6

作者：

Kwasniewski, Bartosz Kosma ^{[1
]}

Meyer, Ralf ^{[2
]}

机构：

[1] Univ Bialystok, Dept Math, Ul K Ciolkowskiego 1M, PL-15245 Bialystok, Poland

[2] Georg August Univ Gottingen, Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 12期

关键词：

INVERSE-SEMIGROUPS; FELL BUNDLES; ALGEBRAS;

D O I：

10.1090/tran/8174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterise Exel's noncommutative Cartan subalgebras in several ways using uniqueness of conditional expectations, relative commutants, or purely outer inverse semigroup actions. We describe in which sense the crossed product decomposition for a noncommutative Cartan subalgebra is unique. We relate the property of being a noncommutative Cartan subalgebra to aperiodic inclusions and effectivity of dual groupoids. In particular, we extend Renault's characterisation of commutative Cartan subalgebras.

引用

页码：8697 / 8724

页数：28

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