## Homology, Homotopy and Applications

- Homology Homotopy Appl.
- Volume 15, Number 1 (2013), 313-342.

### Power operations in orbifold Tate $K$-theory

#### Abstract

We formulate the axioms of an orbifold theory with power operations. We define orbifold Tate $K$-theory, by adjusting Devoto’s definition of the equivariant theory, and proceed to construct its power operations. We calculate the resulting sym- metric powers, exterior powers and Hecke operators and put our work into context with orbifold loop spaces, level structures on the Tate curve and generalized Moonshine.

#### Article information

**Source**

Homology Homotopy Appl., Volume 15, Number 1 (2013), 313-342.

**Dates**

First available in Project Euclid: 8 November 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.hha/1383943680

**Mathematical Reviews number (MathSciNet)**

MR3079210

**Zentralblatt MATH identifier**

1277.19003

**Subjects**

Primary: 19L99: None of the above, but in this section

**Keywords**

Elliptic cohomology Tate curve cohomology operation level structure generalized moonshine

#### Citation

Ganter, Nora. Power operations in orbifold Tate $K$-theory. Homology Homotopy Appl. 15 (2013), no. 1, 313--342. https://projecteuclid.org/euclid.hha/1383943680