The basic construction from the conditional expectation on the quantum double of a finite group

Title:

The basic construction from the conditional expectation on the quantum double of a finite group

Creator:

Xin, Qiaoling, Jiang, Lining, and Ma, Zhenhua

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3d93fece-67b4-4abc-9fc4-71aaf176525d
uuid:3d93fece-67b4-4abc-9fc4-71aaf176525d
issn:0011-4642

Subject:

matematika, mathematics, conditional expectation, basic construction, quantum double, quasi-basis, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let G be a finite group and H a subgroup. Denote by D(G;H) (or D(G)) the crossed product of C(G) and \mathbb{C}H (or \mathbb{C}G) with respect to the adjoint action of the latter on the former. Consider the algebra \left \langle D(G), e\right \rangle generated by D(G) and e, where we regard E as an idempotent operator e on D(G) for a certain conditional expectation E of D(G) onto D(G; H). Let us call \left \langle D(G), e\right \rangle the basic construction from the conditional expectation E: D(G) → D(G; H). The paper constructs a crossed product algebra C(G/H ×G) \rtimes \mathbb{C}G, and proves that there is an algebra isomorphism between \left \langle D(G), e\right \rangle and C(G/H×G) \rtimes \mathbb{C} G., Qiaoling Xin, Lining Jiang, Zhenhua Ma., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

347-359

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:2

Harvested from:

CDK

Metadata only:

false