2018Unpublished venueRequires access

Non-Unital C*-Algebras

Kehe Zhu

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Abstract

When a “unit” is desired of a non-unital C* -algebra, one can usually do the following: adjoining a unit or finding an approximate unit. A Banach algebra without unit can easily be embedded in a unital Banach algebra; see Section 7.1 . However, embedding a non-unital C *-algebra into a unital one is a little more complicated.

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When a “unit” is desired of a non-unital C* -algebra, one can usually do the following: adjoining a unit or finding an approximate unit. A Banach algebra without unit can easily be embedded in a unital Banach algebra; see Section 7.1 . However, embedding a non-unital C *-algebra into a unital one is a little more complicated.

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Available abstract

When a “unit” is desired of a non-unital C* -algebra, one can usually do the following: adjoining a unit or finding an approximate unit. A Banach algebra without unit can easily be embedded in a unital Banach algebra; see Section 7.1 . However, embedding a non-unital C *-algebra into a unital one is a little more complicated.

Key concepts: Unital, Pure mathematics, Mathematics, Psychology, Algebra over a field

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