## You are here

HomeH * -algebra

## Primary tabs

# H * -algebra

# 0.1 H *-algebra

An *H $*$-algebra* is defined as a Hilbert space $\mathbb{A}_{H}$ equipped with an associative unital algebra structure and an antilinear involution ${}^{*}:\mathbb{A}_{H}\to\mathbb{A}_{H}$ which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of $\mathbb{A}_{H}$ with itself (ref. [1]).

# References

- 1 Baez, J. 2007. Groupoidification. (Preprint)

Keywords:

Hilbert involutive algebra, operator and adjoint operator

Related:

HilbertSpace, QuantumSpaceTimes, VonNeumannAlgebra, WeakHopfCAlgebra2, CategoryOfHAlgebras

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

20G42*no label found*81R05

*no label found*81R15

*no label found*46N50

*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections