MORITA EQUIVALENCE OF NEST ALGEBRAS

被引：0

作者：

Eleftherakis, G. K. ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

MATHEMATICA SCANDINAVICA | 2013年 / 113卷 / 01期

关键词：

THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N-1 (resp. N-2) be a nest, A (resp. B) be the corresponding nest algebra, A(0) (resp. B-0) be the subalgebra of compact operators. We prove that the nests N-1, N-2 are isomorphic if and only if A and B are weakly-* Morita equivalent if and only if A(0) and B-0 are strongly Morita equivalent. We characterize the nest isomorphisms which implement stable isomorphism between the corresponding nest algebras.

引用

页码：83 / 107

页数：25

共 50 条

[1] On the Morita equivalence of tensor algebras
Muhly, PS
Solel, B
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 81 : 113 - 168
[2] Morita equivalence of Cherednik algebras
Berest, Y
Etingof, P
Ginzburg, V
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2004, 568 : 81 - 98
[3] Morita equivalence for locally C*-algebras
Joita, M
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 802 - 810
[4] ISOMORPHISM AND MORITA EQUIVALENCE OF GRAPH ALGEBRAS
Abrams, Gene
Tomforde, Mark
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (07) : 3733 - 3767
[5] Morita equivalence for cyclotomic BMW algebras
Si, Mei
[J]. JOURNAL OF ALGEBRA, 2015, 423 : 573 - 591
[6] *-Ideals and formal Morita equivalence of *-algebras
Bursztyn, H
Waldmann, S
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2001, 12 (05) : 555 - 577
[7] MORITA EQUIVALENCE OF CSTAR-ALGEBRAS
GREEN, P
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (03): : A399 - A399
[8] MORITA EQUIVALENCE FOR BLOCKS OF THE SCHUR ALGEBRAS
ERDMANN, K
MARTIN, S
SCOPES, J
[J]. JOURNAL OF ALGEBRA, 1994, 168 (01) : 340 - 347
[9] MORITA EQUIVALENCE OF FINITELY PRESENTED ALGEBRAS
Alahmadi, Adel
Alsulami, Hamed
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (11) : 4577 - 4579
[10] Morita equivalence of dual operator algebras
Blecher, David P.
Kashyap, Upasana
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (11) : 2401 - 2412

← 1 2 3 4 5 →