Taiwanese Journal of Mathematics

PARTIAL INVERSE SEMIGROUP $C^*$-ALGEBRA

B. Tabatabaie Shourijeh

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Abstract

The notion of partial group $C^{*}$-algebra of a discrete group introduced by R. Exel in [3] is generalized to an idempotent unital inverse semigroup, and the partial inverse semigroup $C^{*}$-algebra is defined. By using the algebras of multipliers of ideals of an associative algebra, we can prove some theorem in the $C^{*}$-algebra context without using the approximate identity.

Article information

Source
Taiwanese J. Math., Volume 10, Number 6 (2006), 1539-1548.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500404573

Digital Object Identifier
doi:10.11650/twjm/1500404573

Mathematical Reviews number (MathSciNet)
MR2275144

Zentralblatt MATH identifier
1127.46042

Subjects
Primary: 46L05: General theory of $C^*$-algebras

Keywords
$C^{*}$-algebra partial automorphism partial Crossed product partial group $C^{*}$-algebra

Citation

Shourijeh, B. Tabatabaie. PARTIAL INVERSE SEMIGROUP $C^*$-ALGEBRA. Taiwanese J. Math. 10 (2006), no. 6, 1539--1548. doi:10.11650/twjm/1500404573. https://projecteuclid.org/euclid.twjm/1500404573


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References

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