The $C^*$-algebra generated by two projections.

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

C*-algebra generated by projections

The universal C*-algebra generated by n projections has been described. As an immediate corollary one obtains structure theorem for a pair of projections and the solution to an associated index problem. This puts the study of a pair of projections in the proper perspective of noncommutative geometry. keyword: Index problem, crossed product, Fredholm module, pair of projections. MSC 46L87.

متن کامل

Operators with Compatible Ranges in an Algebra Generated by Two Orthogonal Projections

The criterion is obtained for operators A from the algebra generated by two orthogonal projections P,Q to have a compatible range, i.e., coincide with A∗ on the orthogonal complement to the sum of the kernels of A and A∗. In the particular case of A being a polynomial in P,Q, some easily verifiable conditions are derived.

متن کامل

On the Universal C∗-algebra Generated by Partial Isometry

A universal C∗-algebra is constructed which is generated by a partial isometry. Using grading on this algebra we construct an analog of Cuntz algebras which gives a homotopical interpretation of KK-groups. It is proved that this algebra is homotopy equivalent up to stabilization by 2×2 matrices to M2(C). Therefore those algebras are KK-isomorphic. We recall the definition of partial isometry. D...

متن کامل

Operators with C * - Algebra Generated by a Unilateral Shift

If T is an operator on a Hubert space %, this paper gives necessary and sufficient conditions on 7" such that C*(T), the C*-algebra generated by T, is generated by a unilateral shift of some multiplicity. This result is then specialized to the cases in which T is a hyponormal or subnormal operator. In particular, it is shown how to prove a recent conjecture of C. R. Putnam as a consequence of o...

متن کامل

An algebra generated by two sets of mutually orthogonal idempotents

For a field F and an integer d ≥ 1, we consider the universal associative F-algebra A generated by two sets of d+1 mutually orthogonal idempotents. We display four bases for the F-vector space A that we find attractive. We determine how these bases are related to each other. We describe how the multiplication in A looks with respect to our bases. Using our bases we obtain an infinite nested seq...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: MATHEMATICA SCANDINAVICA

سال: 1989

ISSN: 1903-1807,0025-5521

DOI: 10.7146/math.scand.a-12283