Work

On closed Lie ideals of certain tensor products of C∗‐algebras II

Year: 2019

Type: article

Abstract: We identify all closed Lie ideals of and , where is either the Haagerup tensor product, the Banach space projective tensor product or the operator space projective tensor product, A is any simple ‐algebra, B is any ‐algebra with one of them admitting no tracial states, and H is an infinite dimensional separable Hilbert space. Further, generalizing a result of Marcoux, we also identify all closed Lie ideals of , where A is a simple ‐algebra with at most one tracial state and B is any commutative ‐algebra.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.201800496

Authors: Ved Prakash Gupta, Ranjana Jain, Bharat Talwar

Institutions: Jawaharlal Nehru University, University of Delhi

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Jawaharlal Nehru University, Council of Scientific and Industrial Research, India

Award: G8110434467