Presentations and Tietze transformations of C*-algebras
نویسندگان
چکیده
In this work, I develop a new view of presentation theory for C*-algebras, both unital and nonunital, heavily grounded in classical notions from algebra. In particular, I introduce Tietze transformations for these presentations, which lead to a transformation theorem analogous to Tietze’s 1908 result in group theory.
منابع مشابه
On p-semilinear transformations
In this paper, we introduce $p$-semilinear transformations for linear algebras over a field ${bf F}$ of positive characteristic $p$, discuss initially the elementary properties of $p$-semilinear transformations, make use of it to give some characterizations of linear algebras over a field ${bf F}$ of positive characteristic $p$. Moreover, we find a one-to-one correspondence between $p$-semiline...
متن کاملSteps toward the weak higher category of weak higher categories in the globular setting
We start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{Cambat}. As in cite{Cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{N}$, where such weak higher $n$-transformations are seen as algebras for specific contractible higher operads. The last chapter of this article asserts that, up to precise...
متن کاملSome Observations on Dirac Measure-Preserving Transformations and their Results
Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...
متن کاملCandidate Constructions of Fully Homomorphic Encryption on Finite Simple Groups without Ciphertext Noise
We propose constructions of fully homomorphic encryption completely different from the previous work, using special kinds of non-commutative finite groups. Unlike the existing schemes, our ciphertexts involve no “noise” terms, hence the inefficient “bootstrapping” procedures are not necessary. Our first scheme is based on improved results on embeddings of logic gates into (almost) simple groups...
متن کاملA Homotopical Completion Procedure with Applications to Coherence of Monoids
One of the most used algorithm in rewriting theory is the Knuth-Bendix completion procedure which starts from a terminating rewriting system and iteratively adds rules to it, trying to produce an equivalent convergent rewriting system. It is in particular used to study presentations of monoids, since normal forms of the rewriting system provide canonical representatives of words modulo the cong...
متن کامل